The generator doesn't charge the battery at idle like an alternator. If the battery isn't being charged then the cut out part of the regulator may not be working.
Adjusting the voltage regulator isn't quite straight forward. You have to make the adjustments quickly, within say 30 secs, or you won't get the setting right due to heating of the coils etc. You have to check/set the mechanical settings first then the electrical settings.
The cut out bit, the second coil, also has to be set otherwise you won't changeover from the battery to the generator once the generator volts increase when the motor runs above idle. If the battery is going flat then it seems as though the generator isn't charging the battery properly, the gen is faulty or you have a fault on a circuit somewhere that is draining the battery.
This may give you a start.
Regards
RonR