Welcome to the forum.
Can you hear the solenoid click when you press the pedal? If not the solenoid may be stuck.
Does the cart have any 12 volt accessories like lights, radio, etc? If so take a digital volt meter and check the batteries the accessories are connected to and see if it's only those batteries that are being drained.
You can also try putting the cart in diagnostic mode and see if you get any codes. The instructions should be on the controller cover. If not there's instructions and codes in the EZGO Resource Forum.