Italian Dinner Rolls

3 1/2 cups all-purpose flour
2 tablespoons sugar
2 (.25 ounce) packages active dry yeast
2 teaspoons garlic salt
1 teaspoon Italian seasoning
1 teaspoon dried parsley flakes
1 teaspoon onion powder
1 cup milk
1/2 cup water
4 tablespoons butter or margarine, divided
1 egg
3/4 cup grated Parmesan cheese, divided 

In a mixing bowl, combine 1-1/2 cups flour, sugar, yeast and seasonings. 
In a saucepan, heat the milk, water and 2 tablespoons butter to 120 degrees F-130 degrees F. 
Add to dry ingredients; beat until moistened. Add egg; beat on medium speed for 3 minutes. Stir in 1/2 cup Parmesan cheese and enough remaining flour to form a soft dough. 
Turn onto floured surface; knead until smooth and elastic, about 3-5 minutes. 
Place in a greased bowl, turning once to grease top. Cover and let rest for 15 minutes. Punch dough down. Turn onto a lightly floured surface; divide into 16 pieces. Shape each into a ball. 
Melt remaining butter; dip tops of balls in butter and remaining Parmesan cheese. 
Place in a greased 13-in. x 9-in. x 2-in. baking pan or two 8-in. round baking pans. 
Cover and let rest for 10 minutes. 
Bake at 375 degrees F for 20-25 minutes or until golden brown. 
Remove from pans to wire racks to cool.