We call them a display assembly, because anything you do to try to fix your current assembly will end in a nightmare. As you place the sheets more junk will get between each one, as you try to align them it all turns into a mess. The first thing to do is to not mess up the sheets. The second thing to do is to replace LCD assembly if you have messed up the sheets.
If you really want to go bonkers, cut open a broken LTN133AT09 and use a construction paper cutter like the one in third grade arts & crafts and use that to cut the internal light diffusors in the broken LTN133T09 to the exact measurements of the ones you &&^&@@ up, and put them into your air. It is possible.
But you really want a new display assembly at this point, because that will be a complete nightmare.