Add sugar, vanilla sugar, eggs, lukewarm milk, butter and salt and knead with the dough hook to form a dough that loosens from the edge of the bowl (otherwise add a little more flour). Cover and let the dough rise in a warm place for about 30-40 minutes.
Prepare the two puddings with the 500ml milk and 100g sugar according to the package instructions.
Let the pudding cool down a little.
Meanwhile, knead the yeast dough briefly with a little flour and roll it out into a rectangle (about 60 cm). Brush with the pudding, spread the currants on top and roll up.
Use a sharp saw knife to cut into strips about 2 cm wide, place on a baking sheet lined with baking paper and let rise in a warm place for another 30 minutes.
Bake at 180 ° C (convection, preheated) for about 10-15 minutes.
Mix the powdered sugar with a little water / lemon juice to a thick consistency and brush the lukewarm snails with it.