Lathe Reverse

[m_c]

How it changes direction, depends on what kind of capacitor setup is being used.

Essentially you need to swap how the two windings and capacitor are connected. If all you're getting is a thud, it sounds like you've missed the capacitor out of the circuit, or have shorted the capacitor out.
I have tried searching for a suitable diagram, but have so far came up with nothing simple.

I'd suggest putting it back to how it was, then try reversing direction with the bus bars.
If that doesn't work, try moving the capacitor connection by moving the right/outer connection.