An apparatus for making a wrapped food product includes a conveyor under continuous motion. A wrapper is positioned over the moving conveyor. The apparatus includes a filling mechanism that conveys a filling from a hopper to a mold and a piston that pushes the filling from the mold to the wrapper. The apparatus also includes a folding mechanism that folds a side of the wrapper over a portion of the filling, and a second plate that folds the other side of the wrapper over another portion of the filling. A stamper is positioned over the conveyor, pressing the folded wrapper onto the filling. A flipping mechanism of the apparatus includes a set of guide plates and a prong that rotates the filling and a portion of the wrapper around the filling on itself.