An accessory drive system for a hybrid electric vehicle having an electric variable transmission. The apparatus includes an engine operatively connected to the electric variable transmission. The electric variable transmission includes a gear arrangement configured to selectively produce a plurality of speed ratios. The electric variable transmission also includes at least two motor/generators connected to the gear arrangement, and to a storage device. A drive pulley is connected to an output shaft of the engine. A plurality of driven pulleys are each connected to an accessory. A drive belt connectively couples the drive pulley and the plurality of driven pulleys. A controller is operatively connected to the engine and the motor/generators, and is configured to control the engine and the motor/generators to ensure the accessories are adequately powered.