Original or Jurassic are the -100 and -200 series, Classic is -300 to -500 and NG is -600 to -900 series.
That said the classic doesn't have a FADEC normally. It is controlled by a hydromechanical MEC unit and a PMC (Power Management Control) unit. The PMC is indeed an electronic system but has only limited authority over the MEC, it uses power lever angle, N1 and inlet temperature and pressure to adjust (or trim) the desired N1, to do that it adjusts fuel flow as a function of thrust lever angle. However the PMC can only fine-tune N1, for general settings the MEC is used which is as far as im aware mechanicaly linked to the power (or thrust) levers. In the case of an PMC failure you still can control your thrust with the power levers (via the MEC), just have to be a bit more cautious about big changes in thrust.