Preheat oven to 350°.
Combine first 4 ingredients in a bowl; stir well. Set aside. Combine margarine and sugars in a large bowl; beat at medium speed of a mixer until light and fluffy. Add applesauce, vanilla, egg, and egg white; beat well. Add dry ingredients; beat at low speed until well-blended. Stir in chips.
Drop dough by level teaspoons, 1 inch apart, onto baking sheets coated with cooking spray. Bake at 350° for 12 minutes or until almost set. Remove from oven; let stand 2 to 3 minutes or until firm. Remove cookies from pans; let cool on wire racks.