Method:
Preheat oven to 400°F.
In a large mixing bowl, beat the oil with the sugar and applesauce. Add eggs. In a separate bowl, mix together mix together the flours, baking soda, cinnamon and salt. Add to the liquid ingredients. Fold in carrots, zucchini and nuts. Spoon into muffin cups filling 3/4 full. Bake 20 to 25 minutes or until done when tested with a toothpick. Cool on a wire rack.
For frosting, beat the softened cream cheese with the powdered sugar. Add lime juice. Ice the cupcakes with a blunt knife. Garnish each with a walnut half.