A hybrid powertrain has an electrically-variable transmission with a compound planetary gear set that may be only two planetary gear sets. Two members of the first planetary gear set are connected for common rotation with two members of the second planetary gear set. A first motor/generator is connected for common rotation with a member of the first planetary gear set and a member of the second planetary gear set. An input member is connected to another member of the first planetary gear set. A first set of intermeshing gears includes a first gear connected for common rotation with one of the gears of the second planetary gear set and a second gear driven by a second motor/generator. A second set of intermeshing gears includes another gear driving the output member. A first clutch is engageable to establish an input-split mode. A second clutch is engageable to establish a compound-split mode.