A twisting apparatus comprising a loading device intended to load a food product into a casing, and a braking device, is described. The loading device comprises two tubular filling bodies, or filling tubes, intended to support the casing and a twisting device intended to rotate each filling tube about its axis, and a movable frame or carriage able to support the loading device. The twisting apparatus includes a rotation unit intended to cause rotation of the loading device and angularly displace the two tubular filling bodies with respect to the braking device. Also provided is a displacement drive member connected to said movable frame or carriage so as to move with an approaching and separating displacement, or to-and-fro movement, the two tubular filling bodies away from and towards the braking device. The rotation unit includes a rotation drive member fixed to said movable frame or carriage and is able to be moved by said displacement drive member together with the loading device. The displacement drive member is also configured to move the loading device with respect to an entry member for supplying the product.