Every one of my 2 capacitor 240v single phase motors are reversing, and one capacitor starts the motor in one direction, and one starts the motor in the other direction. I am busy swapping them for 3 phase motors, and I am not the all knowing motor guru, but the only cap start cap run motor I have does not have the capacitors mounted to the motor, they are in the motor controller, and the caps are very different.
Again, I am well versed in 3 phase squirrel cage motors, but all of my 2 cap motors that have the caps mounted on the motor are reversing.