A method for making a multilayered paper-containing product, for example a paper plate or tray, includes assembling two or more sheets of paper-containing material cut into blanks. The blanks are pressed together and shaped in a die, usually with a bonding agent being used to secure the blanks. Pleats are formed in the curved portion of the shaped product. However, the pleats on each blank are formed independently so that the folded region formed in the pleats are arranged in a staggered array and are not interleaved with the pleats of the other blank.