Prepare the Yeast Dough: In a small bowl, combine the warm milk and sugar. Sprinkle the yeast over the top and let it sit for 5-10 minutes until frothy. In a large mixing bowl, combine the flour and salt. Add the yeast mixture, melted butter, egg, and vanilla extract. Mix until a dough forms. Knead the dough on a floured surface for about 8-10 minutes until smooth and elastic. Alternatively, use a stand mixer with a dough hook for 5-6 minutes. Place the dough in a lightly greased bowl, cover it with a clean kitchen towel, and let it rise in a warm place for 1-1.5 hours, or until doubled in size.
Prepare the Cheese Filling: In a medium bowl, combine the farmer’s cheese, sour cream, powdered sugar, and vanilla extract. Mix until smooth and creamy.
Shape the Rolls: Once the dough has risen, punch it down and turn it onto a floured surface. UDivide the dough into 10-12 equal portions. Roll each portion into a ball and flatten slightly. Using your fingers or the back of a spoon, create a small well in the center of each dough ball. Fill the well with a spoonful of the cheese mixture.
Proof and Bake: Place the shaped rolls on a parchment-lined baking sheet, leaving space between each roll. Cover with a clean kitchen towel and let them rise for 30 minutes. Preheat your oven to 375°F (190°C). Bake the rolls for 18-22 minutes, or until golden brown and cooked through.
Cool and Serve: Remove the rolls from the oven and let them cool slightly on a wire rack. Serve warm or at room temperature. Optionally, dust with powdered sugar before serving.