Power lift gate

In link below of owners manual starting page 223 fuse box diagram I see two fuses for lift gate, one for module and the other is for logic.
https://cdn.dealereprocess.net/cdn/servicemanuals/chevrolet/2016-equinox.pdf
The link below problem found was switch in side vehicle was turned to off position.
https://chevroletforum.com/forum/tahoe-suburban-25/power-liftgate-stopped-working-36262/

https://www.youtube.com/watch?v=caThwc07PyU

https://www.youtube.com/watch?v=SdQuQyG78SI

https://www.youtube.com/watch?v=KbSAcgAzIZM
On video below it talk about adjustment of latch. If not opening right move latch around and attempt to open liftgate..
You might try closing latch with door open and push button to see latch open up. If it opens fine it could be binding when door is actually closed and latch needs adjusting.
https://www.youtube.com/watch?v=AmPIx4GuEkc

https://www.youtube.com/watch?v=nno-epcZxQc
https://www.youtube.com/watch?v=pBievVsXBLE

I have a 17 Terrain which does not have power lift gate. Something I notice in the video was if you have power lift gates it says to step back when opening and closing because there are sensors to prevent someone from being hit with the door.

With the age of this vehicle, there is a good chance that the hydraulic struts can no longer easily lift, and keep the tailgate open...even though the electronics work OK.

There are switches on both ends of the course of the motor, if one fails it will only work on the side that´s ok. That´s why it opens but do not close.Check it out.

Check it out on you tube !

It can be faulty switch or its issue with lift gate latch.Its got stuck up hard or cracked inside.It has to be inspected.-----------
There are few help links with proper solutions for these problem.I suggest you to refer the links.
Click the link below:----
2007 Mercury Mountaineer: Liftgate will not Unlock or Open? http://whoisbyme.blogspot.in/2012/06/2007-mercury-mountaineer-liftgate-will.html
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Adjust Hydraulic Lifters? http://schematicsdiagram.blogspot.in/2012/04/adjust-hydraulic-lifters.html
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How to open rear lift gate? http://repairhelpcenter.blogspot.com/2011/12/how-to-open-rear-lift-gate.html

--------- Power Liftgate Shuts Down http://whoisbyme.blogspot.in/2012/07/power-liftgate-shuts-down.html
------------ Power Lift Gate Will Not Remain Open http://whoisbyme.blogspot.in/2012/07/power-lift-gate-will-not-remain-open.html
----------- Power Lift-gate will not Operate http://whoisbyme.blogspot.in/2012/07/power-lift-gate-will-not-operate.html
------------- Liftgate will Not Stay Up Open? http://whoisbyme.blogspot.in/2012/07/liftgate-will-not-stay-up-open.html

---------------- Rear Door will not open http://whoisbyme.blogspot.in/2012/07/rear-door-will-not-open.html
------------ 2000 Toyota Corolla: Rear Door wont open from outside or inside? http://whatisbyme.blogspot.in/2012/05/2000-toyota-corolla-rear-door-wont-open.html

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These details will help.
Thanks.

check the shock looking struts they hold it up the motor just lifts it up

HilAry when the lift gate goes to the open position does it make a grinding noise when it reaches the fully opened position and then closes, If so the gear driven assembly may have had a tooth broken on one of the gears and has striped out causing the gate to fall back down. If this is not the case meaning there is no grinding noises coming from the gate then you have a ecm module that operates the functions of the gear driven unit telling it when to stop and go down. If this is the problem you might want to take it to the dealership to program the new unit. I hope this helps.

did lift gate get repaired ? warranty ? what was replaced? $ cost to customer?

try removing your shocks/struts for the lift gate. once removed, check to see if they fully extend in and out of the barrel. You may have bent shocks/struts. Also, check to see there is nothing preventing the lift-gate from opening such as a bolt or acorns between the spoiler and the roof...

check the gate suports.. its very common for them to rust at the ends and cause them to bind that will not allow the gate to lift on its own. a click or pop may be heard when the gate is opened or closed.. also if the supports are working right the gate actually moves away from the body when the latch is released. if its stays against the body then try the supports for the gate