Roughly speaking:
The AWX is an earlier PD TDI rated at 130hp.
The BXE is a later PD TDI rated at 105hp
Can you swap the AWX into the BXE? most likely not plug and play since the turbos are different. I bet the fuel map on the AWX is different as it is a more powerful engine (injectors are bigger too)..
Need to investigate about cam/crank sensor differences and other electrical parts.
I believe the bellhousong domensions are the same (as in most VAG 4 cyl engines) however i dont know about clutch flywheel ans pressure plate.
Why do you want to swap it ? Did your BXE spun a rod and thrashed the block?
It will be way cheaper to get a used BXE engine block and replace