A vehicle includes a first axle, a second axle, an engine having a crankshaft, a transmission having an input member that is operatively connected to the crankshaft and an output member that is operatively connected to the first axle, a first motor having a first rotor operatively connected to the crankshaft, a second motor having a second rotor that is operatively connected to the second axle, and a controller being operatively connected to the engine, the first motor, and the second motor. The controller is configured to selectively cause the engine to enter a deceleration fuel cut off mode, cause the transmission input torque to increase to zero, cause the torque of the second motor to decrease as the transmission input torque increases such that the sum of the first axle torque and the second axle torque remains substantially constant as the transmission input torque increases to zero.