Beat the butter in a bowl with a mixer, then add the sugar, yoghurt, flour with baking powder and knead a dough. Divide it in 2.
In a buttered and floured oven dish, roll out 1 part of the dough. Chop the Turkish delight finely and lay it on top, then roll out the 2nd part of the dough on top.
Bake in a preheated moderate oven until ready. Once it is, take it out and sprinkle with powdered sugar.