An injection molding machine includes a machine base; a stationary platen fixed to the base for holding a stationary mold section; a moving platen slidably supported by the base for holding a moving mold section; a rotary apparatus slidably supported by the base axially intermediate the stationary and moving platens for supporting a plurality of center mold sections and moving the center mold sections among axial positions directed toward the stationary and moving mold sections and lateral positions directed toward the operator and non-operator side of the machine; and a part-handling apparatus mounted to the stationary platen. The part-handling apparatus includes an end-of-arm tooling disposed laterally outboard of the rotary apparatus. The end-of-arm tooling is movable laterally between an engaged position for interacting with molded articles in one of the center mold sections in the lateral positions, and a disengaged position spaced laterally outwardly from the engaged position.