The 2.0 TDI initially was a PD engine but they had electronic injectors which allowed for better control of injection timing, and hence don’t deliver all their torque in a narrow power band. I think they are twin cam 16v too but they may not all be.
Later 2.0 TDI is a common rail engine (post 2008 in Passats, varies in other VAG cars) which is completely different and much better. As said – the injectors should have been replaced, and there was a design flaw in SOME oil pumps which should all have been repaired or recalled by now. That and the injectors gave the engine a bad rep, which isn’t necessarily warranted if the recalls have been done. I think a dealer or VOSA will probably be able to tell you.
It’s noisier than the common rail engine but a decent drive. In 2005-2008 Passats when both engines were available the 1.9 was 105bhp which really wasn’t enough for me, which is why I discounted it.