Rick
In respect to your VF controller, all of the above replies are basically correct. I have five of these controlers running everything from my lathe to CNC routers and surface grinder. In most cases, I have had to reconnect the motor from a star connection to a delta connection. The Asian controlers are generally 220 volt three phase output so their no use with 440 volt star connected motors. If you are in the U.S., your star connected motor is likely to be 220 volt and therefore OK.
In respect to reversing a three phase motor, you simply need to swap any two phases. When you use the motor in conjunction with a VF controller you can't insert a switch between the motor and the controller as there is a high likelihood of blowing a pair of the output Mosfets. All of the controlers have the facility to reverse direction electronically either on the control panel or externally.
If you need to have the reversing switch externally, you will need to change the appropriate register eg the value from 0 to 1. Quite easily done.
Another trap for first time users is to appreciate that these controllers are usually set up for 400 Hz where you need 60 Hz (I assume). You need to set the maximum frequency to say 70 Hz and the lower frequency to say 35 Hz. If you don't, you will get no power out of your motor because it will be running at less than half voltage. On my lathe, I have brought out to an external box the start, stop and frequency control so that I can vary the speed via a control knob.
Finally, I have a complete set of manuals which I am happy to provide to you via a private email. They make it easy to program the unit plus provide wiring diagrams for external control.
Bruce