Combine the Dry Ingredients: In a large mixing bowl, whisk together the flour, sugar, salt, and yeast. Ensure the ingredients are evenly mixed to promote proper rising.

Mix the Wet Ingredients: Create a well in the center of your dry ingredients, then add the warm milk, melted butter, warm water, and egg. Stir gently until just combined.

Knead the Dough: Transfer the dough onto a lightly floured surface and knead for about 8-10 minutes until smooth and elastic.

Allow the Dough to Rise: Place the kneaded dough in a greased bowl, cover with a kitchen towel, and let it rise in a warm area for about 1 hour or until doubled in size.

Prepare the Filling: Mix the minced garlic, softened butter, and chopped parsley in a small bowl.

Preheat the Oven and Prepare the Pan: Preheat your oven to 375°F (190°C) and grease a muffin tin with butter or non-stick spray.

Roll Out the Dough: On a floured surface, roll out the risen dough into a rectangle approximately 1/4 inch thick. Spread the garlic butter mixture evenly over the dough.

Add the Cheeses: Sprinkle the grated Parmesan and shredded mozzarella cheese over the garlic butter on the rolled-out dough.

Roll and Slice the Dough: Roll the dough tightly from one edge to form a log, then slice into 8-10 equal portions. Place cut-side up in the greased muffin tin.

Second Rise and Bake: Allow the sliced rolls to rise again for about 20 minutes, then bake for 20-25 minutes until golden brown and bubbly.