Preheat the oven to 375°F. Spray a 13x9-inch baking pan with nonstick spray.
In a large mixing bowl, use an electric mixer to combine the sugar, shortening and butter beat until light and fluffy. Add the eggs, baking soda and peppermint extract and mix until well blended. Mix in the flour. Then stir in the white chocolate chips, crushed candy canes and pistachios. Spread the dough evenly in the prepared pan.
Bake for 25 minutes, or until golden brown or a toothpick inserted into the center comes out clean.