It's finally been nice for about a week, getting warmer, so I resurrected the two trees my great uncle gave me.
I overwintered them in burlap underground covered in plywood, as he did.

One seems healthy enough, but the other tree's bark isn't looking so great.

Here are pictures of the damage and one of each tree. It split from freezing? Did something eat at the bark? I know I didn't damage it with my shovel, I was very careful.
Any ideas if it will bounce back? Should I prune and try rooting?

I know you guys have all the answers. Thanks!

The fig trees look very young.  How old are they and do you know what variety they are? 

Unfortunately it is very difficult to know if any parts are still alive until they break dormancy.

Hi,
IMO, sofar, wait and see is the best option . I wouldn't cut or touch the tree for now.
Sometimes they grow from zones that you were not expecting them to.
You could cut a stem that still is alive and you would realize when it is too late.

The trees are young. It's the second year I have them, and they were max 2 year old wood when I got them.

I'll probably wait it out, but it sucks to see them all beaten up. Would you tape up the scratched bark?

jds, -25 to +35, sounds like my temperatures. How do you overwinter your trees?

If anything,
Brush a little latex paint over the cracks where the damage is.

Or,

Try twisting the wood with just a bit of force. If the wood is flexible then there's still hope. If the wood breaks then continue a couple inches at a time till you reach their flexibility. That's where you will reach the live wood.

Either way, if there was enough root growth then they should spring right back up from the bottom.
There's still hope.

Good luck