In mixer bowl, cream butter. Gradually add sugar and beat until light and fluffy. Add eggs, one at a time, beating well after each addition. Stir in applesauce. In small bowl combine oats, flour, baking powder and salt. Add to creamed mixture and stir just until moistened.
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Spoon batter into greased muffin tins, filling two-thirds full. Bake in a 425° over for 15 minutes. Remove muffins from pan immediately and brush tops with melted butter. Combine sugar and cinnamon and sprinkle mixture over each muffin.