An apparatus includes a frame having a guide, a transport unit including a support tray and a drive to transport the transport unit with respect to the frame. The transport unit includes a pushing member displaceable with respect to the tray transversely with respect to a transporting direction. The pushing member includes a pushing portion that pushes against a product on the tray and an actuator which is guidable along the guide such that the pushing portion displaces with respect to the tray upon moving the transport unit in the transporting direction when the actuator contacts the guide. The pushing portion is resiliently connected to the frame when the actuator contacts the guide under operating conditions. The damping factor of the connection has such a low value that the process of compression/expansion of the resiliency at least partly occurs within a period of contact of the actuator and the guide.