A method of performing shifts includes determining whether a multiple-shift maneuver is needed, whether a single-staged input profile is needed, and creating the single-staged input speed profile. The profile is matched to first or second multiple-shift patterns, neither of which utilizes fixed-gear propulsion. The patterns utilize a quasi-asynchronous transitional shift event and an electric torque converter transitional shift event. The quasi-asynchronous event induces controlled slip to an offgoing clutch while providing reaction torque from the electric machines, and offloads torque from the offgoing clutch proportionally to reaction torque. The oncoming clutch begins slipping-engagement prior to completing offloading of the offgoing clutch. At least one of the offgoing and oncoming clutches has non-zero slip speed throughout the quasi-asynchronous event. The electric torque converter event utilizes oncoming and offgoing clutches, completely offloads the offgoing clutch while controlling output torque with the electric machines, and synchronizes and engages the oncoming clutch.