Various embodiments of electrically-variable transmissions are provided that have two motor-generators, two planetary gear sets, and two torque-transmitting mechanisms, including a rotating-type clutch and a stationary-type clutch. An input member is connected for common rotation with a ring gear of the first planetary gear set. Carriers of both of the planetary gear sets are connected for common rotation with one another, and with an output member. The first motor/generator is connected for common rotation with the sun gear of the first planetary gear set. The second motor/generator is connected for common rotation with the sun gear member of the second planetary gear set. A drive transfer assembly transfers torque from components establishing the first axis of rotation to components establishing the second axis of rotation.