I had this happen with one quilting job I did, I was mortified. Weeks later I read somewhere that wadding does indeed have a right and wrong side. Try with the rough side up and the smooth/shiny side down, facing the backing. It's hard to tell which is which with some battings. I often use an inexpensive sheet from Spotlight [that's Australia] , which is 80%cotton/20polyester, fine threaded, for the backing, and have no trouble with bearding, so it's not caused by the fabric.