I am a commercial electrician with 20 years experience. I just had the system installed at the end of last year. I remember when I was a child and there was a demonstration of a solar panel with a 3v motor that would spin when the sun hit the solar panel. I thought I should say Hi before diving...
If you hook up a 120v cord to the neutral and the 220v to another cord you should end up with 4 wires =2 hots, 1 neutral, and 1 ground. Cap the extra hot and the extra ground on the 120v cord.
You probably should unbond the generator if your house panel or meter is bonded between the equipment...