Heat oven to 375 degrees.
Mix thorougly shortening, butter, sugars, eggs, and vanilla.
Stir in remaining ingredients.
Drop dough by rounded teaspoonfuls 2 inches apart onto ungreased baking sheets.
Bake 8 to 10 minutes or until light brown.
Cool slightly before removing from baking sheet.
*If using self-rising flour, omit baking soda and salt.