A cover assembly is provided, such as a camshaft cover or valve cover, for an internal combustion engine. The cover assembly includes a cover member with a contoured surface. An acoustic barrier member is generally coextensive with the cover member and at least partially approximates the contoured surface. An elastic member is mounted with respect to the acoustic barrier member and spans at least a portion of the acoustic barrier member. A plate member is mounted with respect to the elastic member and is operable to retain the elastic member and the acoustic barrier member with respect to the cover member. The plate member spans substantially the entirety of the elastic member.