A method and a device for producing a container filled with a liquid filling material from preforms made of a thermoplastic material, wherein each preform is thermally conditioned and subsequently, during a molding and filling phase, remolded into the container in a mold having at least one liquid filling material as a pressure medium. The filling material or parts of the filling material are supplied at at least two points in time and/or in at least two process phases with different contents of carbon dioxide and/or at different temperatures. In the second process phase, dry ice, particularly in form of pellets, is supplied.