You will need an H bridge controller to be able to run both ways. The H bridge will need to be able to handle the required continuous current of the motor as well as the brief stall current at startup.
I'm have motor driver IBT_2 which is able to output 43A maximum for a 24V motor with starting current 80A (rated current 20A).
Is this not reasonable ? can you please explain a bit of the relation between motor starting current and the current through the motor driver ?
Thanks a lot!