Heat oven to 350ºF. In large bowl, break up cookie dough. Stir or knead in 1/4 cup flour until well blended. Remove half the dough, and refrigerate remaining dough until needed. Sprinkle 2 tablespoons flour onto work surface. With floured rolling pin, roll out dough 1/4 inch thick.
With cookie cutters, cut dough into 2 1/2-inch rounds, ovals, stars and half moon shapes (see shapes in photo). On ungreased cookie sheets, place shapes 2 inches apart. Repeat with remaining half of dough and flour.
Bake 6 to 8 minutes or until light golden brown. Immediately remove from cookie sheets to cooling racks. Cool completely, about 15 minutes.
In small bowl, mix frosting and food color until well blended and desired red color. Decorate each cookie to look like Santa with red frosting and baking bits.