Hello, that's amazing! How can we help you with that? The game normally only recognizes xBox gamepads.
Also someone did this and shared it on a Doom group on facebook, maybe he can also help you.
I'll post the link here, don't know where else to find him, hope the link works.
https://www.facebook.com/photo?fbid=10229859467540463&set=pcb.1142470203062398
Sorry here is the link to the post:
https://www.facebook.com/groups/180107965965298/permalink/1142470203062398/
And link to the group:
https://www.facebook.com/groups/180107965965298
None of us have much knowledge in Linux, but If you have an account I'm sure you can contact the person who posted this.