Lightly roast the almond slivers in a pan without fat, remove. Knead marzipan, icing sugar, cinnamon, almond slivers, raisins and 2 tablespoons of Calvados. Wash apples and grate them dry.
Cut off upper quarter. Punch stars into the apples with a small cookie cutter and hollow them out with a small knife. Lightly hollow out apples from the inside with a ball cutter. Squeeze lemon and sprinkle the apples (+ lid) with plenty of lemon juice from the inside and outside.
Pour the marzipan mixture into the apples, place on a baking tray and bake in a preheated oven (electric cooker: 200 °C/ convection oven: 175 °C/ gas: level 3) for approx. 20 minutes. Add the apple lids only the last 5 minutes.
Meanwhile boil up 200 ml apple juice, star anise and honey. Stir 50 ml apple juice, 2 tablespoons Calvados and starch until smooth. Stir the mixed starch into the boiling apple juice and simmer for about 2 minutes, stirring occasionally.
Arrange apples on the Calvados honey sauce and dust with icing sugar.