Lightly spoon flours into dry measuring cups, and level with a knife.
Combine flours and next 6 ingredients (flours through cinnamon) in a large bowl; make a well in the center of mixture.
Combine 1 cup sugar, oil, applesauce, water, and vanilla in a bowl; add to flour mixture, stirring just until moist. Cover and chill 1 hour or until firm.
Shape dough into 36 balls, and roll the balls in 1/4 cup sugar.
Place the balls 2 inches apart on baking sheets coated with cooking spray.
Bake at 350 for 15 minutes or until lightly browned. Cool 1 minute on pans.