Sliding door fails to latch

Try an obvious thing first. Check the actual runner channels on the body of the vehicle aren't full of dirt and rubbish. I've been caught out by silly stuff like that!
This sounds like it might be an issue with the 'Automatic' part of the door. Does the Auto close still work? Something might have come loose inside the mechanism and is blocking the doors movement.
If the door was off it's tracks the door wouldn't sit right when closed and you would have trouble locking it. The door would look either twisted, where the door gap is wider at one end than the other, or it would sit further out at the top or bottom as you look down the side of the vehicle, where it's jumped out of its runners.

There could be several reasons why your 2007 Dodge Grand Caravan sliding door is not latching properly. Here are some possible causes:

1. Obstruction in the Door Track: Check the door track for any debris, dirt, or foreign objects that may be blocking the door from closing fully. Clean the track and remove any obstructions.
2. Broken or Misaligned Door Hinges: If the door hinges are damaged or misaligned, the door may not close properly. Inspect the hinges for any signs of damage or wear and replace them if necessary.
3. Damaged Latch or Actuator: The latch or actuator that holds the door in place may be damaged or malfunctioning, preventing the door from closing properly. Inspect the latch and actuator for any signs of damage and replace them if necessary.
4. Dead Battery: If the battery in your Dodge Grand Caravan is weak or dead, the electronic functions of the sliding door may not work properly. Check the battery and replace it if necessary.
5. Faulty Door Control Module: The sliding door may be controlled by a door control module, which may be faulty or damaged. Have the control module tested and replaced if necessary.

In any case, it's recommended that you take your vehicle to a certified mechanic or dealership to diagnose and fix the issue, especially if you are unable to get the door closed manually.

you will need to remove the fuse for the power side doors and back. Disconnect the battery to reset the ECU and the doors should open and close manually just fine. There is a safety release on the gas filler port to prevent the door on that side from opening with the port is opened. Make sure the fuel filler cap door works properly, if the sliding door on that side is the one that won't open.

Can you pull on the release handle and use a screwdriver to change the position of the latch?

The proper way would be to look at a wiring diagram an test the electrical circuit's with a DVOM - digital volt ohm meter . Do you know how to test automotive electrical circuit's ?
Electric Testing Techniques You Need to Know
The Trainer 32 How To Read An Automotive Block Wiring Diagram
Free wiring diagrams here http://www.bbbind.com/free_tsb.html
Enter the vehicle info. year , make model and engine size . Under system click on body & accessories ,then under subsystem click on power sliding door . Click the search button then the blue link. Looking at the diagram you will see a control module is used .
Also reading factory service info. on how it works would be a good idea.

Rear Side Door Actuator Control Module
The rear side door actuator control module is capable of on-board diagnostic functions described in On-Board Diagnostic Features . The rear side door actuator control module monitors the door position at all times including during manual operation. After activating the on-board diagnostic modes, loosing battery voltage, or ground to the rear side door actuator control module the Power Sliding Door (PSD) Re-Initialization procedure must be performed in order for the rear side door actuator control module to correctly determine the door position.
Power Sliding Door System Description
The power sliding door system(s) can operate correctly only if the power sliding door is in proper mechanical condition. Any mechanical problems will affect the power sliding door operation and must be repaired before attempting to diagnose the power sliding door system. Manually open and close the power sliding door to determine if the door moves smoothly and without excessive resistance or binding. The power sliding door must also latch and unlatch without the use of excessive force. At any time during power sliding door open or close operation, excessive resistance to the door movement will cause the power sliding door to stop and reverse the direction of travel.
The power sliding door will operate only when the power sliding door on/off switch in the overhead console is in the on position. At anytime during power sliding door operation the on/off switch may be turned to the off position and the system will quit any function in process. The power sliding door will not open unless the transmission shift lever is in the park position and the door is unlocked. When the sliding door security lock is in the locked position the power sliding door will not open from the inside. The power sliding door close function will operate when the vehicle is in gear. The power sliding door module uses the VSS signal to determine if the vehicle is moving during a power sliding door close function. The momentum of the vehicle moving forward adds resistance to the door closing operation. When the rear side door actuator control module determines the vehicle is moving forward while closing the door, current flow through the actuator motor is increased instead of being reversed. The VSS signal circuit is supplied battery positive voltage through a resistor then monitored within the rear side door actuator control module. The VSS signal circuit is then pulsed to ground, or pulled low by the powertrain control module in relation to vehicle speed. The sliding door alarm will sound repeated short tones whenever the power sliding door system is turned on and the door is open while the transmission is out of park.
When the power sliding door system is on and manual operation of the power sliding door is detected the rear side door actuator control module activates the power assist feature. When the power assist is activated the power sliding door will continue to open or close without any further manual effort.
The power sliding doors may be operated using the Remote Keyless Entry System. The keyless entry transmitter will have one OPEN/CLOSE button with a van symbol on it for each power sliding door. The power sliding door ON/OFF switches in the overhead console must be in the ON position in order to operate the power sliding doors using the keyless entry transmitter. When a right hand power sliding door OPEN/CLOSE function is activated using a keyless entry transmitter the exterior lights will flash once indicating the RKE module has received the OPEN/CLOSE command. When activating a left hand power sliding door OPEN/CLOSE function with the keyless entry transmitter the exterior lights will not flash.

On-Board Diagnostic Features
The left and right power sliding door systems operate as independent systems. The on-board diagnostic modes are entered and operate the same in both systems.
The power sliding door systems are capable of the following on-board diagnostic functions:
• Diagnostic Mode 1: An audible signal indicates the diagnostic trouble codes stored by the rear side door actuator control module.
• Diagnostic Mode 2: An audible signal indicates when inputs to the rear side door actuator control module are active.
• Diagnostic Mode 3: Performs an output test of the sliding door unlatch actuator.
Entering On-Board Diagnostics
The on-board diagnostic modes can only be entered in a sequential order from modes 1-3.
• Enter the right power sliding door system on-board diagnostics using the right B-pillar open/close switch and the right on/off switch in the overhead console.
• Enter the left power sliding door system on-board diagnostics using the left B-pillar open/close switch and the left on/off switch in the overhead console.
1. Both power sliding doors must be closed and in the latched position.
2. Place the ignition switch in the OFF position.
3. Place the on/off switch in the overhead console to the OFF position.
4. Press and hold the B-pillar power sliding door open/close switch.
5. While holding the open/close switch, operate the on/off switch through 10 ON and OFF cycles within 10 seconds stopping in the on position.
6. The sliding door alarm will sound 1 long tone indicating diagnostic mode 1 is active.
Diagnostic Mode 1
Upon activating diagnostic mode 1, DTCs will begin to be signaled by the sliding door alarm. The DTCs are 2 digit codes and the codes are represented by the number of buzzes for each digit of the code number. For example a DTC 12 is represented with the following sequence: buzz, pause, buzz, buzz, long pause. Each DTC will be signaled 3 times before proceeding to the next DTC. Refer to Diagnostic Trouble Code (DTC) List . The DTCs will continue to be repeated in this manner until the on-board diagnostics are exited or mode 2 is entered. When exiting the on-board diagnostics all stored DTCs will be erased from the rear side door actuator control module memory.

On the 05 Odyssey there's a problem with the rear latch assembly(about $140each) located in the rear of each sliding door. The problem is that the latch assembly was not seal proplery and water can get into the latch cause the sliding door to act funny. Maybe replace the latch assembly will help you.

Try this... it fixed my problem whereby the 2005 Toyota Sienna passenger sliding door would sometimes open and sometimes not, yet I could hear the motor trying to open/close it. It cost me 20 minutes and 10 drops of oil, not $1200.

First, get the door open. It took me two weeks of constant trying, but it finally opened.

Next, remove the plastic covering of the inside door handle this way: locate the two screws on the forward edge of the sliding door near the child-safety switch: (the switch is a small lever near the door latch, on the forward edge of the door) loosen and remove the two phillips screws, one above the child-safety latch, and one below.

Remove the plastic cover to expose the gears for the door open/close mechanism.

There's a bunch of intricate plastic and metal parts in there, all coated with white grease. I used some 3-n-1 oil to lubricate everything in there thoroughly, In my case, there was one part that was a little void of grease, hence it "stuck" occasionally.

Test the system. If it's Okay, replace the plastic cover, and re-install the screws.

Now my Toyota Sienna 2005 door never fails to open or close.

the door is out of adjustment. you could also have something bent. those are very heavy doors and I would recommend to take it to a honda dealer only for repairs. I helped a gentleman in your exact same situation and it took a 20 year tech all day to get it right.

DO NOT PUSH IT!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
1. turn off the power button for the power sliding doors located on the lower dash area.
(in for on out for off)
2. close the sliding doors
3. disconect the battery and wait 1 minute.
4. reconect the battery, turn on the power switch
5. use one of the door control buttons open and close the door this should reset the door.

If this fails to get it working i'm sorry but you will need to take it to a dealer.
and most likly it will need a new drive $3000 aproxmatly. it can not be serviced

I think you have a latch issue or a latch release issue, pull the door panel and try and release the door latch, pull the latch and try to see what if anything is wrong with it, also make sure the linkage going to the latch from the release handle is hooked up or not otherwise damaged.