Preheat oven to 325° F.
Spray a 9-inch square pan with vegetable oil spray.
In a mixing bowl, combine oil, brown sugar, applesauce and vanilla.
Add oats, walnuts, baking powder and cinnamon.
Mix until blended.
Press mixture evenly and firmly into prepared pan.
Bake 20 to 25 minutes, or until edges are golden brown.
Cut into 36 squares while hot.
Allow to cool in pan.
Store in an airtight container.