Warm the cottage cheese, milk, and butter in a saucepan until melted and lukewarm. Remove from heat.
Stir in sugar and sprinkle yeast over the mixture. Let sit for 5 minutes until foamy.
Add egg and salt, then gradually mix in flour until a soft dough forms.
Knead the dough until smooth and slightly tacky, about 6–8 minutes.
Place dough in a greased bowl, cover, and let rise until doubled, about 1 hour.
Divide dough into 12 pieces and shape into rolls. Place in a greased baking dish.
Cover and let rise again for 30 minutes.
Bake at 375°F (190°C) for 18–20 minutes, until lightly golden.
Brush warm rolls with butter before serving.