Abstract: A process for manufacturing a multilayered object by molding having the steps of positioning a sheet of thermoplastic or textile material in a mold, injecting thermoplastic resin under the sheet, and forming the object by compressing the sheet and the resin. A screen is interposed between the sheet and the thermoplastic resin. The permeability of the sheet is a function of the resin and of the compression. An incision of the sheet is formed in the area of the outer face of the sheet.