Bobby, this is thin deer rawhide. It was only to hold down any splinters that might lift from the back. This bow had very thin rings and knots, hence the rawhide backing. It will usually hold down splinters but not very effective against catastrophic failure!
I don't think any simple backing, silk, linen, paper or rawhide, will hold a bow together that is destine to blow. Sinew, wood and boo most often will unless the belly is a total disaster.