The lower pockets on the back are solely used as game pockets in hunting jackets. I'm inclined to say this is a civilian model of a wool logger jacket.
They did make military issued version of these jackets in the 30s, however they were made out of canvas and had snap buttons. There were also no game pockets, and the cape was lower at the base of the jacket, as there were no game pockets.
I've can't recall ever seeing these game pockets used on a military jacket, so the fact those are there, make me question this isn't just a mistaken version of the army mackinaw, which was made out of wool, but had two lower pockets on the front, no double cuffs, etc.