A vehicle powertrain includes a first power-source configured to generate a first power-source torque and a multiple speed-ratio transmission configured to transmit the first power-source torque to power the vehicle. The powertrain also includes a fluid coupling having a fluid pump shaft operatively connected to the first power-source and a turbine shaft operatively connected to the multi-speed transmission. The fluid coupling is configured to multiply the first power-source torque, and transfer the multiplied first power-source torque to the multiple speed-ratio transmission. The powertrain additionally includes a second power-source configured to generate a second power-source torque and a first torque transfer system configured to connect the second power-source to the first power-source. The powertrain further includes a second torque transfer system configured to connect the second power-source to the multi-speed transmission. A motor vehicle having such a powertrain is also envisioned.