Preheat oven to 350°F. Lightly grease cookie sheet.
Cream together butter, 1/2-cup sugar and1/2-cup brown sugar. Add egg; mix well. Stir in flour and baking soda. Add cereal; stir until well combined.
Mix 3 Tablespoon sugar and cinnamon together; roll 1 Tablespoon dough into a tight ball in mixture. Place on cookie sheet, and press thumb into center of cookie to make shallow well.
Spoon 1/2-teaspoon of apple butter in to center of each cookie, and bake for 8-10 minutes or until lightly brown.
Dough is easier to roll if cold. If dough gets sticky refrigerate 30 minutes.