Cream sugar and margarine in large bowl. Add carrots, raisins, egg, applesauce, molasses and vanilla; mix well. Measure flour, allspice and baking powder into same bowl; slowly stir flour mixture into other ingredients and mix until well blended. Drop by teaspoonfuls, 2 inches apart on lightly greased cookie sheets. Bake in 350 F. oven 10 to 12 minutes or until cookies are set and lightly browned. Remove from baking sheet while still warm. Cool on wire rack. Each cookie provides: * 70 calories * 1 g. protein * 2 g. fat * 13 g. carbohydrate * 0 g. dietary fiber * 5 mg. cholesterol * 33 mg. sodium