Preheat oven to 375 degrees F. Lightly grease baking sheets.
With an electric mixer, beat butter and shortening at medium speed until creamy; gradually add sugars, beating until fluffy. Add eggs and vanilla, beating well.
In a small bowl, combine flour, baking soda and salt; gradually add to butter mixture, beating until blended. Stir in chocolate morsels and almond brickle chips. Drop cookies by 1/4 cupfuls about 3-inches apart onto prepared baking sheets. Bake for 11 to 12 minutes, or until lightly browned. Let cool for 2 minutes on baking sheets. Remove to wire racks to cool.