Several years ago I watched some videos on Youtube of a gamer playing a new PC FPS in which the main character finds a gauntlet. When worn, it allows him to steal energy/life from living objects, like trees or deer, and also to give back that energy to dead things to resurrect them. One of the game's goal was to destroy or sabotage a large tower that would send out a pulse to steal energy from all living things in mile or so radius.

What is the name of that game?? I've been looking for it for several weeks, but my Google searches have not found it. I can't look in Youtube history, as I don't login to YT to watch stuff.

Singularity?

Could be if the OP is mistaken but I do seem to remember a game trailer more like they describe.

No, although they are a bit similar.

In the game videos I watched, the only weapon the character has is the gauntlet he finds in a box in the back of an abandoned military jeep in the woods.

Valley. Not on GOG sadly.

woah, Sentinel's ideas are alive?

Yup, that's Valley.

Revelations 2012 maybe?

https://www.youtube.com/watch?v=LzTo6XUiIA4

EDIT: link

Yes, that's it! Thanks everyone!

Wishlist:
https://www.gog.com/wishlist/games/valley

edit:
One of the devs games - Slender - was once on sale here. But it was pulled from the store several years ago. Hence probably the reason why Valley isn't here as well.