An agricultural harvester (10) includes a grain processing section having a crop material handling assembly (26). The crop material handling assembly (26) is driven in fore and aft oscillation by a device (84) while permitting side to side movement. A pivotal link mechanism (100, 116) structurally connected to the crop material handling assembly (26) midway between its side members (70, 72) and to the agricultural harvester chassis drives linear side to side movement of the crop material handling assembly (26) while permitting fore and aft movement thereof.