A powertrain has an internal combustion engine provided with an accessory transmission that includes a first pulley connected to a crankshaft of the engine, a second pulley connected to a shaft of an electric machine, and a belt connecting the first and the second pulleys to each other to rotate in the same direction of rotation (R). The electric machine is operated to supply an active torque to the second pulley during start-up of the internal combustion engine by means of a starter motor.