Recipe: Buttery Cheddar Herb Rolls

Name: Recipe: Buttery Cheddar Herb Rolls
Ingredients: 4 cups all-purpose flour; 2 tablespoons granulated sugar; 1 tablespoon finely chopped fresh sage or thyme leaves; 1 (1/4-ounce) packet active dry yeast (2 1/4 teaspoons); 1 3/4 teaspoons salt; 10 tablespoons unsalted butter (1 1/4 sticks), divided; 1 1/4 cups cold whole milk; 2 large eggs, lightly beaten; 8 ounces shredded sharp cheddar cheese (about 2 cups), divided; Vegetable oil or cooking spray, for coating the bowl and plastic wrap