Various embodiments of electrically-variable transmissions have first and second motor-generators, first and second planetary gear sets, and two torque-transmitting mechanisms, including a rotating-type torque-transmitting mechanism and a stationary-type torque-transmitting mechanism. An input member is connected for common rotation with a ring gear of the first planetary gear set. Carrier members of both of the planetary gear sets are connected for common rotation with one another, and with an output member, via one or more radial-extending hub members and an axial-extending member or shaft. 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. In each embodiment, the various components of the transmission are positioned relative to one another to minimize the number and/or size of interconnecting shafts and shells.