Take the dough out of the refrigerator about 30 minutes before processing. Peel and finely grate the carrots. Roll out the dough and brush with 30 g butter. Mix cinnamon with brown sugar and sprinkle evenly on the dough. Spread the carrots on top. Roll up the dough from the narrow side using the baking paper.
Cut the roll into approx. 9 slices and distribute loosely in a greased ring cake mould (approx. 1 litre capacity). Add the remaining butter in flakes and bake in the preheated oven on the 2nd rack from below (electric oven: 175 °C/ circulating air: 150 °C/ gas: see manufacturer) for approx. 30 minutes. Remove from the oven and leave to cool for approx. 15 minutes on a cake rack. Remove bread from the tin and let it cool down.
In the meantime, stir yoghurt with sugar and lemon juice until smooth. Dribble the icing over the bread and serve.