Stir the fat until foamy. Sift icing sugar finely. Mix with flour, cornstarch, vanilla sugar and aniseed. Stir into the fat. Add 1-2 tablespoons of ice-cold water, knead well and cover and leave in a cool place for about 30 minutes.
Form cherry-sized balls from the dough and place them on 2 baking trays lined with baking paper. Press slightly flat with a fork. Bake one after the other in a preheated oven (electric: 175 °C/ gas: level 2) for 12-15 minutes. Let them cool down and dust with icing sugar. Results in approx. 42 pieces