Method for producing a multi-ply fibrous product, especially a tissue paper product, non-woven product or a hybrid thereof and preferably a hygiene and cleaning product, comprising the following method steps: (a) embossing a top ply using an embossing roll; (b) supplying at least one further ply; such further ply optionally being pre-embossed (54, 56) before being directed into the nip between the embossing roll and a marrying roll; and (c) bonding together the top ply and the further ply in the nip between the embossing roll and the marrying roll or in the nip between the embossing roll and a second embossing roll for embossing the further ply; the embossing roll having a structurized embossing surface suitable to run against an anvil roll, the structurized embossing surface being characterized by comprising male protrusions or female depressions starting from a base circumferential surface (12, 12a, 12b; 14) of the roll; the embossing pattern being further characterized by the following features: - the base areas (A1, A2) of selected male protrusions or female depressions in the base circumferential surface (12, 12a, 12b; 14) are different; - the heights (D 1, D 2) or depths of selected male protrusions or selected female depressions in a radial direction of the roll and starting from the base circumferential surface (12, 12a, 12b; 14) are different; - the angles between sidewall sections and the adjacent base circumferential surface (12, 12a, 12b; 14) of selected male protrusions or female depressions are different; - at least one male protrusion or female depression has sidewalls with at least two different slope angles between sidewall sections and the adjacent base circumferential surface (12, 12a, 12b; 14); - at least one male protrusion is an elongate rib or at least one female depression is an elongate groove; - wherein the width of the elongate rib or elongate groove continuously changes in a longitudinal direction; and - selected angles between side wall sections of male protrusions or female depressions and the adjacent base circumferential surface (12, 12a, 12b; 14) exceed 30°. (a) embossing a top ply using an embossing roll; (b) supplying at least one further ply; such further ply optionally being pre-embossed (54, 56) before being directed into the nip between the embossing roll and a marrying roll; and (c) bonding together the top ply and the further ply in the nip between the embossing roll and the marrying roll or in the nip between the embossing roll and a second embossing roll for embossing the further ply; - the base areas (A1, A2) of selected male protrusions or female depressions in the base circumferential surface (12, 12a, 12b; 14) are different; - the heights (D 1, D 2) or depths of selected male protrusions or selected female depressions in a radial direction of the roll and starting from the base circumferential surface (12, 12a, 12b; 14) are different; - the angles between sidewall sections and the adjacent base circumferential surface (12, 12a, 12b; 14) of selected male protrusions or female depressions are different; - at least one male protrusion or female depression has sidewalls with at least two different slope angles between sidewall sections and the adjacent base circumferential surface (12, 12a, 12b; 14); - at least one male protrusion is an elongate rib or at least one female depression is an elongate groove; - wherein the width of the elongate rib or elongate groove continuously changes in a longitudinal direction; and - selected angles between side wall sections of male protrusions or female depressions and the adjacent base circumferential surface (12, 12a, 12b; 14) exceed 30°.