An appliance includes at least one chamber accessible via an opening and a cover member for providing selective access to the opening. The cover member includes a flexible portion and a rigid portion. The flexible portion includes a plurality of elongated rib members and a flexible skin covering surrounding the plurality of elongated rib members. The plurality of elongated rib members aligned in a side-by-side configuration and secured together in a spatially consecutive arrangement. Thus, the flexible portion is movable with respect to the rigid portion between a flat, closed position that covers a portion of the opening and a curved, open position that exposes the portion of the opening.