Cut the upper quarter off the oranges. Carefully hollow out the oranges. Cut the flesh out of the parting skins, collecting the juice. Mix curd cheese, 4-5 tablespoons orange juice, Cointreau, orange fruit, vanillin sugar and sugar.
Chop the Kemm cake, except for one for decoration, coarsely and, except for a few pieces for sprinkling, fold into the quark mixture together with the orange pieces. Fill the orange cream into the prepared orange peel.
Sprinkle with remaining pieces of Kemm cake. Cut the remaining Kemm cake into four triangles and put them into the cream. Serve decorated with mint, orange fillets and orange peel strips as desired.