I would guess that board is creating a 40kHz square wave and sweeping it +/-2kHz or so, at a rate of ~500Hz. So not terribly complicated.
But you won't be able to just drop that into an existing ultrasonic cleaner. You'll have to figure out where the gate driver signals are, cut the traces to them, and then inject your own signal. Then figure out how to enable/disable the frequency generator board, or if the gate drive has an enable input already.