CAEB compatibility

Hello all, I was wondering if any of you out there can answer this question. I currently have an 09 A4 with a CAEB engine that jumped time and smoked the motor. Looking for a replacement and it seems that only the 09-12 model years are compatible with each other, even though the 13-16 still use the same engine code all the websites I’ve seen don’t show that they can be swapped with each other. Right now I’m eyeing up a '13 A6 with the CAEB but I have no way of knowing if it’ll fit without having one in hand. Was hoping that someone would be able to point me in the right direction as far as what all is compatible with each other. Any insight would be greatly appreciated.

Thanks!