Yes, longarm quilters usually baste the top edge first, then the sides and bottom edge as it is advanced to keep it completely flat and straight. It looks as if he just laid it down on the frame and started quilting. Someone needs to tell him that basting is part of LA quilting, and that it's imperative that it be done. If you're going to buy a longarm (as with any "power tool"), you need to learn how to use it properly. LA quilting is not something you can rush through.
I don't even know how to begin to help you fix this, and I'm so sorry....