They should not work on Inverter.. But should on the generator.
However we are way short on info.. You need to do a few things.
First,, Obtain a decent clamp on ammeter.. Harbor Freight has one that is decent in the less than 20 buck range but Sears has two in the 50-150 dollar range that I would recommend.. They do both DC and AC (The HF one is AC only).
Now, identify the wires that feed power to the A/Cs.. Many places you may be able to access them.. Clamp on the white wire and read the amps. Just the wite, no other wire. (Or if you like just the black, you can use either one but I'd rather play with the white, safer)
Write 'em down and post.
Home is where I park it!