A torque transmission device for a powertrain system includes a continuously variable unit (CVU) of a continuously variable transmission (CVT) arranged in parallel with a fixed-gear-ratio transmission. The fixed-gear-ratio transmission includes first and second planetary gear sets and a plurality of transmission clutches, wherein the first and second planetary gear sets are arranged to transfer torque between an input member and an output member in one of first and second fixed-gear-ratio modes by selectively activating the transmission clutches. The torque transmission device operates in a first fixed overdrive input/output speed ratio when the CVU input clutch is deactivated and a first set of two of the transmission clutches is activated. The torque transmission device operates in a second fixed overdrive input/output speed ratio when the CVU input clutch is deactivated and a second set of two of the transmission clutches is activated.