Preheat oven to 350°F. Grease a 12-cup muffin pan or use paper liners.
In a bowl, mix together applesauce, oil, and eggs.
In another bowl, combine cake flour, Splenda Sweetener, baking soda, cinnamon, and salt. Make a well in the center and pour in egg mixture. Stir until just moistened. Fold in cranberries.
Spoon batter into muffin cups, ⅔ full. Sprinkle nuts over the top of batter.
Bake for 25–30 minutes, or until a wooden pick inserted into the center comes out clean. Cool slightly in pan, then transfer to a wire rack to cool completely.