Why do you start by "ripping into the generator?"
Did you check the battery voltage first? Is it dead? You need a jump box so it seems that's one problem.
Did you check the voltage at the battery terminals with the engine running to even see what the generator(alternator) output is?
I would place bets that your battery is the problem and check that out first, but you have given so little information that it's really hard to know where to start to help you. Like how old is this bike, how many miles, how long has it sat 'till you got it. what has been done to it so far? If it has been sitting for a while, how old is the gas, did you clean the carb, etc.,etc.,etc. A little more information would go a long way. Generators usually don't fail. but batteries do and carbs get dirty and fouled. so you start at the beginning and work your way down the line. We need more info.