Abstract: A method for producing a cover for a tin or can is disclosed wherein the cover just prior to forming a weakening scoring thereon is orientated in a definite direction. Apparatus for carrying out such method is also disclosed comprising an alignment station provided at the entry to at least one processing device, said alignment station having means for rotating each cover and means for stopping said cover in a definite rotary position. A cover produced by such method is disclosed, said weakening scoring in said region transverse to the grain direction of said cover being made deeper than said weakening scoring parallel to the direction of rolling.