Two ways. I use a solid or mottled on the back and match my bobbin thread as close as possible. I dont use 2 1/4 inches but 2 1/2 I attach to the back but I make the back a smidgen narrower than the front. So instead of attaching with a true quarter I use 3/16. Then I press and stitch from the front using topstitching. Takes some practice not to get the stitching on the binding (and I have a topstitching walking foot) but the stitching line on the back will show up like quilting.
Second I just used the idea somebody posted the other day where you made the two strips and stitch them together. A seam ends up on the edge and you topstitch the front and back at the same time. First try and it turned out good and it was fast. Plus you can have different color bindings on the front and back of the quilt.