It's a little hard to read, but it seems to say:
"110 vac, 15 amps - panel logic power
208-220 vac single-phase, 20 amps pump [motor] power"
It's likely that "panel logic power" doesn't need very much power.
If that's true, one 4-wire multi-wire branch circuit, fed by one double-pole breaker, will suffice. (two hots, one white, one ground)
Connect two hots to the pump motor, and one hot & the white to the panel logic.
This will have the added advantage of de-energizing the entire assembly by turning off one breaker.
The panel logic can be fed with 120 volts and the pump motor can be fed with 240 volts, if that's what's available.
