Red squirrel vs landscape cloth — which is tougher? Without using those chisel teeth to bit off a chunk, but just raw muscular pulling power, red squirrels are no match for the plastic sheeting I use to reduce weeds in the garden. But it was amusing to watch the little squirrel try to separate a piece of the cloth, perhaps as insulation in its nest. I think leaves would probably work better, however.
In frustration (I guess), this little squirrel gave up and chased a couple of gray squirrels around the garden for a few minutes.