Method for manufacturing an inner lining part with a support component made of a fiber molding material and a decoration foil, the method comprising the steps: - in a first press tool with two tool parts (21, 22) execution of a first compressing a support layer semi-manufactured product for forming the support layer and a decoration layer semi-manufactured product for forming the decoration layer, and adjustment of a temperature at which the melting point of the materials of the semi-manufactured products (11, 12) is achieved, wherein the first compressing is executed with or without deformation, - opening the first press tool and at the same time forming a texturing of a first surface of the decoration layer semi-manufactured product by separating the decoration layer semi-manufactured product from a second forming surface of the press tool and thereby forming an intermediate product (Z1, Z2) which comprises a support layer (Z11, Z21) and a decoration layer (Z12, Z22) with a textured first surface (Z1-1, Z2-1), - by means of a cooling device applying a coolant onto the first surface (Z1-1; Z2-1) of the intermediate product (Z1, Z2) and thereby cooling at least one partial thickness portion of the cross-section of an intermediate product section of the intermediate product (Z1, Z2) for stabilization of the surface texturing of the first surface (Z1-1; Z2-1) of the intermediate product (Z1, Z2), wherein the partial thickness portion is situated at the first surface (Z1-1; Z2-1) of the intermediate product (Z1, Z2), - in a second press tool with two tool parts (71, 72) execution of a second compressing and deformation of the intermediate product (Z1, Z2) so that the inner lining part as a manufacturing end product is formed. - in a first press tool with two tool parts (21, 22) execution of a first compressing a support layer semi-manufactured product for forming the support layer and a decoration layer semi-manufactured product for forming the decoration layer, and adjustment of a temperature at which the melting point of the materials of the semi-manufactured products (11, 12) is achieved, wherein the first compressing is executed with or without deformation, - opening the first press tool and at the same time forming a texturing of a first surface of the decoration layer semi-manufactured product by separating the decoration layer semi-manufactured product from a second forming surface of the press tool and thereby forming an intermediate product (Z1, Z2) which comprises a support layer (Z11, Z21) and a decoration layer (Z12, Z22) with a textured first surface (Z1-1, Z2-1), - by means of a cooling device applying a coolant onto the first surface (Z1-1; Z2-1) of the intermediate product (Z1, Z2) and thereby cooling at least one partial thickness portion of the cross-section of an intermediate product section of the intermediate product (Z1, Z2) for stabilization of the surface texturing of the first surface (Z1-1; Z2-1) of the intermediate product (Z1, Z2), wherein the partial thickness portion is situated at the first surface (Z1-1; Z2-1) of the intermediate product (Z1, Z2), - in a second press tool with two tool parts (71, 72) execution of a second compressing and deformation of the intermediate product (Z1, Z2) so that the inner lining part as a manufacturing end product is formed.