How can I get this motor to reverse?

[jrudyk1]

This shop replaced the motor for their lathe and I was sent to hook it up. The lathe has a forward/reverse switch hooked up to a pair of contacters. I am wondering how to hook up the new motor so it works with the existing setup. The old motor has already been discarded so I don't have that for reference. Originally 4 leads would go to the motor from the terminal block. I've drawn up what I think would work and attached some pictures of the motor and schematics. The new motor is not instant reverse so it would have to come to a stop to change direction but that's a compromise they can live with. Motor will be running on 208v.

https://imgur.com/a/zkdEN9J

 

[TwoBlocked]

On the nameplate it says to swap T5 & T8 to reverse direction. You don't mention the number of poles on the contactors. Hopefully there are four. Two of the contacts would supply the line voltage, the other two would connect T5 to T4, and T8 to T2 & T3 for one direction. On the other contactor, two of the contacts would again supply the line voltage, while the other two would connect T8 to T4, and T5 to T2 & T3 for the other direction.