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Preheat oven to 375F; have ready cookie sheets lined with parchment paper.
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Put white sugar and cinnamon in the bowl of your food processor, fitted with the steel blade.
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Pulse quickly, just until mixed, then empty mixture onto a pie plate.
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Now put the eggs, brown sugar and oil into the bowl of your food processor and pulse for a few seconds, until blended.
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Add baking powder and flour to mixture and pulse just until the flour disappears-- it is important not to overprocess or the cookies will be tough.
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Use about 1 tbsp of this dough to form cookie into the twist of your choice-- I used to form capital letters when my son was young, making alphabet cookies.
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Roll cookies in cinnamon-sugar mixture and place on prepared cookie sheets.
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Bake in preheated oven for 12 to 15 minutes, or until lightly browned-- if you've made fairly large twisted cookies, you'll likely need the full 15 minutes.