My dog broke the sliding wooden storage between the rear seats. I have removed the segments from the backing. Does anyone know how to put it back together?

 

Yes, it can be done. Each panel slides in a track. All panels are mounted on a fabric mesh backing. You will probably have to replace this fabric. Each segment is glued individually to the fabric. You should remove the rear console, but if that is too much work, simply lift the rear of the center panel and you can reach through. I believe each of the panels is numbered on the back. This is a very FIDDLY job. Be patient. There is a magnet at the front of the sliding track that traps the sliding panels at the front.