Here is the motor reversing switch wired up correctly and being tested.
The two wires going to the terminals on the right are the feed from the outlet and the wires going to the run coils of the motor.
The two wires on the left go to the starting capacitor and the start coils.
When you flip the switch the continuity swaps from feeding the voltage from one side to the other.
In effect reversing the wires so the connection is changed from right top to left top to right top to left bottom the same for the other connection on the bottom right as well.
You can flip this switch till the cows come home as long as the motor is running and it wont do anything.
Turn the motor off and let it spin down then flip the switch and it will reverse.
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