A cellulose product toggle pressing module for forming non-flat cellulose products from an air-formed cellulose blank structure. The toggle pressing module includes a toggle press including pressing member movably arranged in a pressing direction, a toggle-mechanism connected to the pressing member, a pressing actuator arrangement connected to the toggle-mechanism, and an electronic control system operatively connected to the pressing actuator arrangement. The toggle pressing module includes a forming mold including a moveable first mold part attached to the pressing member and a second mold part. The electronic control system is configured for controlling operation of the pressing actuator arrangement for driving the pressing member using the toggle-mechanism in the pressing direction and forming the non-flat cellulose product from the cellulose blank structure by pressing the first mold part against the second mold part. Furthermore, the toggle press is installed with the pressing direction of the pressing member arranged primarily in a horizontal direction.