I use Velux blankets cut to the exact size of the floor I want covered inside cages or carriers. They are not cheap to buy but, they don't unravel when cut and, having them cover the whole floor discorages chewing plus you can fasten the edges down if you need to. Velux is also very washable, it doesn't stain easily and, doesn't pill or crush from washing, rabbit trampling etc. The way it's made also makes it toenail snag proof.
Now it is a synthetic so, if that concerns you, don't use it but, I've never had a problem with it at all.