A hybrid vehicle powertrain includes an internal combustion engine, first and second electric machines, traction wheels, and an output shaft having meshing gears configured to establish a final drive ratio between the output shaft and the traction wheels. The powertrain additionally includes a first mechanical linkage and a second mechanical linkage. The first mechanical linkage is configured to selectively transmit engine torque to the fraction wheels and selectively transmit electric machine torque to the traction wheels. The second mechanical linkage is configured to selectively transmit engine torque to the traction wheels. When transmitting engine torque to the wheels, the second mechanical linkage defines a fixed overdrive speed relationship between the engine and the fraction wheels.