An electrically variable transmission includes a power source, three differential gear sets, first and second motor/generators each connected to at least one of the gear sets, and torque-transmitting mechanisms. An input member transfers power from the power source through the differential gear sets to an output member. The torque-transmitting mechanisms are selectively engageable to provide an input-split first electrically variable mode having equal forward and reverse speed ratios for given input speeds and a compound, power-split second electrically variable mode. Torque provided from the power source is added to torque provided from the second motor generator in both forward and reverse electrically variable modes.