Place gelatin sheets in warm water, let soak and dissolve as directed. Let the liquid cool down.
Meanwhile stir plain yogurt until smooth. Fold 1 tbsp yogurt into the dissolved gelatin. Now fold this mixture into the remaining yogurt.
Put heavy whipping cream, sugar and vanilla sugar into a bowl and beat until stiff peaks form. Fold the yogurt, once it is gelling, carefully into the stiffened whipped cream.
Cover the first cake layer evenly with a little of the whipped cream-yogurt mix, cover it evenly with pineapple pieces.
Add the top cake layer and spread the rest of the yogurt-cream evenly on top.
Refrigerate the cake for at least 3 hours.