Shortcrust dough: Knead all dough ingredients in a wide bowl at the beginning with the hand mixer (dough hook) and then with your hands to a smooth dough. Shape the dough into a ball and rest in the refrigerator for one hour, wrapped in plastic wrap. Then roll out the dough on a floured work surface to the size of a springform pan of 28 centimeters in diameter. Cover the bottom of the springform pan with parchment paper, place the dough on top, press it into the pan and prick it a few times with a fork. Bake at 200 degrees (top and bottom heat) for 15 to 20 minutes until the shortcrust base is golden brown.
Sponge dough: beat salt, eggs, sugar and vanilla sugar until sugar is completely dissolved. Combine flour and baking powder, sift over the top and fold in briefly. Pour the batter into a cake springform pan (28 cm ø) lined with parchment paper and bake at 175 °C (top and bottom heat) for 15 minutes.
When both bases have cooled, place the short pastry base on a cake plate and spread with the apricot jam. Place the sponge cake base on top, drizzle with orange liqueur and place a springform rim around it.
Mango puree: Soak the gelatine according to package instructions. Remove the skin from the mangos (with a peeler) and peel off larger pieces down to the core. (Drain the mangoes from the can.) Cut the pieces a little smaller. Set aside a small piece of mango for decorating each piece of cake. Mix the rest of the fruit with lemon and orange juice.