Preheat oven to 350 degrees.
Cream butter and sugars until light and fluffy. Add egg and oil. Beat well
In a separate bowl, mix together 2 and 3/4 cups flour, baking soda, cream of tartar and salt.
Add this dry mixture into the creamed mixture and beat well.
If needed, add the remaining 1/4 cup flour and beat until the dough forms into a ball.
Divide dough into 3 equal balls of dough.
Add red food coloring and cherry extract to the ball of dough.
Add blue food coloring and raspberry extract to ball of dough.
Add just the lemon extract to the last uncolored section.
Roll each ball of dough into a 10-in.-long rectangle log.
Place red, white and blue logs side by side.
Very lightly, press all the logs together in red, white and blue order.
Wrap in saran wrap and then chill until firm. I chilled mine for about 30 minutes.
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Unwrap your dough and then cut it crosswise into 1/4 inch slices.
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Place each slide about one inch apart on parchment paper on your baking sheets.
At the end of a strip, lightly press cookies with a fork and then pull down the dough to the end.
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Bake until set about 10-12 minutes.
Let cool for 2-3 minutes then transfer to a rack.
Using white chocolate candy melts, melt per package instructions. Spread on the inside of a cookie, insert a stick and place another cookie on the other side.
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Let cool.
Or use white vanilla frosting to do the same.
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