For the dough:
1/2 liter yogurt
1 teaspoon baking soda
50 gr. butter (or margarine)
3 cups flour
For the filling:
1 kg slightly salted cheese, grated
Beat one egg and stir in the yogurt. Sprinkle the mixture with salt. Mix baking soda with flour and pour it into the yogurt mixture. Turn the dough out onto a floured board and sprinkle the dough with flour liberally. Roll out the dough carefully. If the cheese is salty, soak it in the water for several hours before grating, squeeze it out and let it drain. Divide the dough into 6 pieces. Roll out each piece and place 1/6 of the grated cheese in the center of each round.
Gather the eggs fo each round in the center (either sealing them so that the cheese will be inside the khachapuri, leaving hollow for the egg, as it is shown in the picture). Preheat the oven to 150°C and bake khachapuri until it is browned. Beat an egg into the hollow of each khachapuri and put it in the oven for a minute.