Preheat oven to 350 degrees. Line a muffin pan with 12 paper muffin cups.
In a separate large mixing bowl whisk together granulated sugar and brown sugar, canola oil, applesauce, eggs and vanilla.
Stir in carrots and zucchini. Add in flour mixture and walnuts if using then stir and fold batter with a rubber spatula just until combined.
Divide batter among prepared muffin cups filling each cup nearly full.
Recipe source: Cooking Classy
Nutritional information based on white flour and does not include nuts.