A transmission includes an input member, an output member, and a stationary member. First and second planetary gearsets each have respective first, second, and third members. A first motor/generator has a first rotor operatively connected to one of the members of the planetary gearsets for unitary rotation therewith. A second motor/generator has a second rotor operatively connected to one of the members of the planetary gearsets for unitary rotation therewith. The transmission also includes first, second, and third torque transmitting devices operative to selectively connect members of the planetary gearsets with the input member, the stationary member, or with other members of the planetary gearsets to provide two electric vehicle modes, two electrically variable modes, and a fixed gear ratio mode of transmission operation.