The transmission includes an input shaft rotatable about a first axis of rotation, and a countershaft arranged substantially parallel with the input shaft and rotatable about a second axis of rotation. An output member is operatively connected to rotate in unison with the countershaft. Multiple pairs of intermeshing gears are included, each having a respective synchronizable gear that rotates about one of the input shaft and the countershaft, and a respective fixed gear mounted to the other one of the input shaft and the countershaft to rotate in unison therewith. An electric motor has a rotor concentric with and rotatable about the first axis of rotation. A first synchronizer is selectively engageable to synchronize rotation of the rotor with the input shaft. A second synchronizer is selectively engageable to synchronize rotation of the rotor with one of the synchronizable gears that rotates about the input shaft.