Beat together the brown sugar, applesauce, molasses and egg in a large bowl until smooth. In another bowl combine the remaining ingredients (except the white sugar) and stir into the wet mixture. Cover and refigerate at least 2 hours or overnight.
Preheat oven to 350 degrees. Form the dough into small, walnu-sized balls, roll in white sugar and place 2 inches apart on a greased cookie sheet. (I use and ungreased cookie sheet and it works fine) Bake for 10-15 minutes. Remove and cool on a rack.
