Sound like a electrical problem; first thing, check the fuse in
the instrument panel fuse box labeled ECC (I think), fuse 10 amp, this powers the liftgate.
Also, here can find other details about fuse description and location:
GMC-Yukon-Owners-Manual (page 540 and next).
If this not work, the liftgate relay is located behind the right
side B pillar trim at the lower portion of the B pillar. The relay is wrapped with foam insulation tape. Check the wire and make sure that if you jump terminals 2 and 1 with a fused jumper wire and relay out this should power the unlock actuator.
If this doesn't work this is all the information you should need to figure it out and here is a trouble tree for diagnostics:
1.- Did you perform the Diagnostic System Check - Vehicle?
Go to Step 2 / Diagnostic System Check - Vehicle in Vehicle DTC Information
2.- Activate the door lock switches to the lock and unlock positions. Do both rear passenger doors lock and unlock?
Go to Step 3 / Power Door Locks Inoperative
3.- Did the liftgate lock actuator lock and unlock?
Testing for Intermittent Conditions and Poor Connections in Wiring Systems / Go to Step 4
4.- Disconnect liftgate door lock actuator. With a test lamp connected to a good ground, probe the door lock actuator lock circuit at the door lock actuator harness connector. Activate a door lock switch to lock position. Does the test lamp illuminate?
Go to Step 5 / Go to Step 7
5.- With a test lamp connected to a good ground, probe the door lock actuator unlock circuit at the door lock actuator harness connector. Activate a door lock switch to unlock position. Does the test lamp illuminate?
Go to Step 6 / Go to Step 8
6.- Inspect for poor connections at the harness connector of the door lock actuator. Refer to Testing for Intermittent Conditions and Poor Connections and Connector Repairs in Wiring Systems.
Did you find and correct the condition?
Go to Step 10 / Go to Step 9
7.- Repair the open the door lock actuator lock circuit. Refer to Circuit Testing and Wiring Repairs in Wiring Systems. Did you find and correct the condition?
Go to Step 10
8.- Repair the open in the door lock actuator unlock circuit. Refer to Circuit Testing and Wiring Repairs in Wiring Systems. Did you find and correct the condition?
Go to Step 10
9.- Replace the liftgate door lock actuator. Refer to Door Lock Actuator Replacement in Body Rear End. Did you complete the repair?
Go to Step 10
10.- Operate the system in order to verify the repair. Did you correct the condition? System OK
Go to Step 2.
Keep in mind that you need have early your repair manual; lok in the local library.
Hope helps.