Preheat oven to 400 degrees F.
Combine the butter, shortening, sugar and eggs in the bowl of a mixer. Blend in flour. Form dough into 1-inch balls. Combine 2 tablespoons sugar and 2 teaspoons cinnamon. Roll the balls in the sugar-cinnamon mixture and bake 8 to 10 minutes. Then place the chocolate sticks inside the cookies so they look like lollipops.
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