2013 Audi A4 2.0tdi cglc engine automatic

I bought this car as you would see in photo just as it is. No front end no engine.

Is there for instance a 1.9tdi engine that would fit this cars transmission and computer without programming or adapting or any modification.

Or does someone know of an engine that would work.

I cannot find a engine for this car and these engine cgl is stupid expensive USED.

Any advise would be appreciated.

Thanks