In this cooking extruder the nozzle head (12) is disposed in a nozzle plate (10) and the passage (34) through which the material for the envelope body is supplied extends at an angle to the axis of a filling tube (42) through which the filling material is introduced into the extruded envelope body. When clogging occurs during production the filling tube (42) can be withdrawn from the nozzle head (12) and replaced by a new filling tube. The front end of the filling tube (42) is led between forming rolls (66, 68) and serves as abutment for said rolls. This makes it possible to form the surface of the envelope body with a pattern or bake said surface locally or over the entire periphery. In the nozzle head (12) a baffle plate (30) is disposed with the aid of which a uniform distribution of the material supplied for the envelope body may be achieved. An annular space between a lining tube (28) in the hollow mandrel (22) and the filling tube (42) may be subjected to suction extraction.