I'm afraid that using a generator in series with the battery will not work, unless you connect the generator to a gasoline-powered motor.
It is not just a matter of boosting the voltage of the battery, you need an increase in total available power.
Your scooter/motor/battery/gross (loaded) weight is a problem. With lead-acid batteries, the amount of power they can deliver is related to the surface area of the plates. Automotive-type batteries are lighter in weight than SLA or marine batteries, but they will not last long at all in this type of application. Unfortunately, other battery technologies are far too expensive to be affordable in this situation.
You might consider a moderate battery upgrade; ie: increasing from 12AH to 20AH or 25AH batteries. You will still have a net weight gain, but it will be less than the 35AH batteries.
Note that both batteries should have the same AH rating; you wouldn't want to mix a 20AH with a 12AH.
It is not just a matter of boosting the voltage of the battery, you need an increase in total available power.
Your scooter/motor/battery/gross (loaded) weight is a problem. With lead-acid batteries, the amount of power they can deliver is related to the surface area of the plates. Automotive-type batteries are lighter in weight than SLA or marine batteries, but they will not last long at all in this type of application. Unfortunately, other battery technologies are far too expensive to be affordable in this situation.
You might consider a moderate battery upgrade; ie: increasing from 12AH to 20AH or 25AH batteries. You will still have a net weight gain, but it will be less than the 35AH batteries.
Note that both batteries should have the same AH rating; you wouldn't want to mix a 20AH with a 12AH.