Abstract: A cover assembly for an internal combustion engine includes sleeves that are connected with a cover member by rubber bodies. The rubber bodies decouple the cover member from structure-borne sound from the engine. Depending on its configuration, the cover assembly may be used as an oil pan or a valve hood. The cover assembly is made from a cover blank which includes the cover member, the sleeves, and webs which connect the sleeves to the cover member. The cover blank is placed in a mold. The webs break and the sleeves are axially displaced with respect to the cover member as the mold is closed. An elastomer material is then injected into the mold to form the rubber bodies.