That is a brushed DC permanent magnet motor with a very nice but otherwise standard quadrature shaft encoder (ChA and ChB are the A and B outputs). The motor likely runs on 12 or 24 V maximum (m+ and m- leads) while the encoder requires 3.3 V. Try running the motor at 6V and measuring the current draw with a multimeter to get a feel for the power requirements.
No, the Maestro is a servo controller that generates standard RC servo pulses, so it cannot control a DC motor directly. If the motor is a brushed DC motor with encoders, you would probably need a motor driver or motor controller to power the motor and a microcontroller to process the encoder signals.