In a large bowl, using a hand mixer, beat the eggs and oil for 2 minutes. Combine the flour, sugar, cinnamon, baking powder, baking soda, and salt; add to the egg mixture. Add the baby food and applesauce; mix well. Stir in the walnuts.
3 large eggs, 1¼ cups vegetable oil, 2 cups Bob's Red Mill 1:1 Gluten Free Flour, 2 cups granulated sugar, 2 teaspoons ground cinnamon, 1 teaspoon baking powder, ½ teaspoon Bob's Red Mill Baking Soda, ½ teaspoon kosher salt, ¾ cup carrot baby food, ¾ cup unsweetened apple sauce, ½ cup chopped walnuts