5-Minute Hungarian Cheese Pogácsa

550 g all-purpose flour
200 g butter or margarine
7 g instant dry yeast
1 tsp sugar
1 tbsp salt
100 g sour cream or plain yogurt
2 eggs
150 ml lukewarm milk
100 g grated cheese
Up to 100 g additional flour, if needed

For the top:
1 egg
3 g sweet Hungarian paprika