1Heat oven to 350ºF. Grease bottom and side of 12-cup fluted tube cake pan with shortening; lightly flour. Toss 1 tablespoon flour and the cranberries to coat; set aside. In large bowl, mix 2 1/2 cups flour, the pumpkin pie spice, salt, baking powder and baking soda; set aside.
2In large bowl, beat granulated sugar and butter with electric mixer on low speed 30 seconds, scraping bowl constantly. Beat on high speed, scraping bowl occasionally, until light and fluffy. Beat in eggs, one at a time, until smooth and blended. Reduce mixer speed to medium. Gradually beat in flour mixture alternately with applesauce until smooth. Stir in cranberry-flour mixture and walnuts. Pour into pan.
3Bake 50 to 60 minutes or until toothpick inserted in center of cake comes out clean. Cool 10 minutes; remove from pan to wire rack. Cool completely, about 2 hours. Sprinkle powdered sugar over cake.