An electrically-variable transmission is provided with input member and output member, first and second motor/generators, a first planetary gear set and multiple additional planetary gear sets as well as at least four torque-transmitting mechanisms that are selectively engagable alone or in different combinations to establish a reverse electrically-variable operating mode, at least three forward electrically-variable operating modes, including two low range forward electrically-variable modes and a high range forward electrically-variable mode.