For the dough, briefly whip the eggs with the sugar. Gradually stir in the oil and buttermilk. Mix flour with baking powder, stir in quickly and spread the dough on a greased springform pan 28cm in diameter.
Pre-bake at 200 ° C for about 12 minutes.
For the crumble, melt the fat, knead with flour, sugar and cocoa to make crumbs.
Bring the milk and coconut milk to the boil and cook a pudding with starch, semolina, desiccated coconut, sugar and vanilla sugar.
Peel the apples and cut into wedges. Spread the apple wedges evenly on the dough, cover with coconut pudding and sprinkle with sprinkles.