I cannot find a website with the entire rear gate

Did they work before? Possible causes apart from fuses and relays.

Single press opens driver door, double press opens all doors.

Child deterrent lock in operation.

2008-2013 Jeep Liberty & Cherokee (KK) Fuse Box Diagram

https://knigaproavto.ru > shemy > 857-2008-2013-jeep...
Oct 5, 2019 - Fuse Box Layout Jeep Liberty & Cherokee - Sport and Limited (KK; 2007, 2008, 2009, 2010, 2011, 2012, 2013)

Jeep Liberty & Cherokee (2008-2013) Fuse Diagram

https://fusecheck.com > Jeep
Fuse box diagram (fuse layout), location, and assignment of fuses and relays Jeep Liberty & Cherokee (KK) (2008, 2009, 2010, 2011, 2012, 2013).

first is diagnosis.
you examine and test it. to see if its electrical or mech. failure.
and once discovered that follow that to logical conclusions.

1997 jeep cherokee You just go to the link I attached I'm sure you will get the solution of your problem

you can remove those bars to shut the gate BUT when you do theres nothing to hold gate from dropping all the way down to bumper. hope this helps!!!!

could be the switch one side not working test with meter

Pry up on the locking lever with small screwdriver, then pull the wiper arm off the pivot

the actuator is bad for the lock it shares the fuse with the doorlocks if they work and that doesnt you need an actuator very common on the rear hatch

Well My 94 Jeep Grand Cherokee had the same problem and we had to just cut into the lift gate panel from the inside. It required cutting plastic but with a 94 looks arent everything and a working lift gate was worth it. But then we pealed back this black plastic mat under the panel and lifted up on the release bar(verticle bar that lifts the latch) and once we got it open we adjusted a little clamp that had slipped. Dont adjust it too much or when u lock it it wont lock! But sorry i dont know the name of the parts. But then u can screw the panel back in and it wont look to bad besides some cuts.

There is a button above the license plate you have to push up on it make sure the door locks are unlocked.

Remove the windshield wipers. Pull away from windshield until and use a screwdriver to pry clip on bottom of wiper arm and remove entire arm from mount. Now remove shroud that is under wiper arms you just replaced. After you move the shroud, you should be able to get at the pump.