Not sure, but someone, somewhere said that the Kenemore stuff was made by Tilla. So it should work. Also, where ever I read that it was also mentioned that the Black and Decker bags would also work.
The Kenmore bags aren't "waffelized", but they have straight, in-line channels for vacuuming the air. They work just as well as the Tilia bags. I think as long as the bags have the channels, they'll work...Read that on TVWB, I think...