A 2.0 litre engine will run fine on the 1.8 PCM as long as you fit the 1,8 fuel injectors. The PCM will just thinkits breathing better!
You'll also need to fit the 1.8 flywheel and clutch (using new bolts) to suit the IB5 gearbox as the 2.0 is usually mated to a MTX75 box.
If the 2.0 engine is from a Mondeo there can be minor differences in manifolds and sensors, so swapping from your dead engine may be needed.
I know this works because, for testing purposes only, I ran a FRS engine on a 1.8 PCM. It was fine until the boost came in.
Martin