A hydraulic system for a vehicle drivetrain includes a torque transfer device having a first actuator that actuates to selectively communicate rotatable motion from an input member to an output member. A limited slip differential selectively transfers drive torque from the output member to at least one of the first and second axle shafts. A motor drives a first and a second output shaft. A first pump is rotatably driven by the first output shaft. The first pump selectively supplies the hydraulic fluid to the first actuator. A second pump is rotatably driven by the second output shaft. The second pump selectively supplies the hydraulic fluid to the second actuator.