Welcome to the forum I have no doubt you will get a raft of replies to your question.
I don't know the model but in essence lathe spindles are run in reverse by motor rotation. On single phase electrics that is done by starting the motor in the opposite direction to normal using the start winding wired appropriately.
3 Phase is easier, one of the normal run windings is swapped with it's neighbour and the motor will then start and run in reverse.
These things are usually done via a built in reversing switch
Regards
Brian.