Id suggest that you find an auto parts store advance auto that has programmable keys for sale. They have a sensor to test the fob to see if it is radiating a signal all the time or at all.
I suspect that your ON all the time depleting the battery in short order. With a meter and a few leads, check to see if there is a current drain
W
dy
Rob at Needswings can get you new fobs to get u going.