Mix the butter oil, applesauce and sugars well. Then stir in the eggs and vanilla.
In another bowl blend the oatmeal, flour, baking powder, baking soda, and salt. Stir into sugar mixture and mix until well blended.
Stir in chocolate chips and nuts.
Refrigerate for half an hour.
Roll teaspoonfuls into balls and bake at 375 degrees for 12 minutes or until golden brown.
Cool on wire rack and enjoy.