I would take a piece of firm , clear plastic , like from a file folder , ape the clear plastic to a table to start with , & lay the damaged fabric on top of it. Superglue the one good side of that ribbon to the plastic. After it dries , do a little at a time to straighten the fabric onto the plastic, as good as you can, & super glue it in place. Once that dries, do a little more, etc., etc. Once totally finished, cut the plastic to the size of the ribbon, & you will have permanent, clear backing. It is tedious, & most likely you will need a helped. TAKE YOUR TIME !