The rubber mats are completely different between the F and the M, and serve a different purpose.
Dorkvader, you need to make a new mat for your F. I got a sheet of foam at an art supply store and a 5/8" hole punch. I used spray paint and the metal plate to mark the holes, since I was painting my plate anyway. It worked great and was easy.
The Model F mat is basically foam, at least a couple of mm thick (at least when new!) with a rubbery skin on one side. The barrels actually rest, or "bed" might be a better term, into the mat, and the mat deforms deeply around them. Also, since the plate is a "front" plate, and the mat, and everything else, is behind the plate, and it needs that thickness and resilience to keep everything snug.
The Model M mat is a flat sheet of thin rubber, and probably serves mostly to shield the plastic membranes from the metal "back" plate, which is at the very bottom of the stack. I don't think it serves much mechanical purpose, and is probably far less critical than the F mat.