The engine still sit longitudinally on this vehicle even if it is FWD.

The easiest way to tell if it's quattro? Test drive it, you will feel the difference between every FWD car you've driven, and the awesomeness of quattro AWD...

P.S. Took another look, and it is definitely wood trim on both back doors. The guy changed it in the front but never got around to doing the back I suppose.