A frozen product dispensing apparatus (20) comprises a refrigeration system (50) and a freezing cylinder (52). A source (42) of the product or precursors of the product is coupled to an inlet (124) of the freezing cylinder. An outlet valve (38) has an open condition for discharging product from the freezing cylinder. A beater assembly (53) is within the freezing cylinder and has an axis (502) and an outer helical member (152). A motor (62) is coupled to the beater assembly for driving rotation of the beater assembly about the axis so that when driving said rotation in a first direction (530), the outer helical member drives product (540) toward the outlet valve. The beater further comprises an inner helical member (200; 300; 400) within the outer helical member.