A hybrid vehicle transmission including a double-rotor electric machine, two planetary gear sets, an input shaft, and an output shaft, where the input shaft, the output shaft, and a first rotor of the double-rotor electric machine are each coupled to a member of the first planetary gear set, the output shaft and a second rotor of the double-rotor electric machine are each coupled to a member of the second planetary gear set, and a member of the second planetary gear set not coupled to the output shaft or the second rotor is selectively coupled to the first rotor via a first torque transfer device, and selectively coupled to a transmission housing via a second torque transfer device.