1. Preheat your oven to 350°F.
2. In a large mixing bowl, whisk together the flour, sugar, baking powder, baking soda, cinnamon, ginger, and salt.
3. Add in the vegetable oil, applesauce, non-dairy milk, and vanilla extract. Mix until fully combined.
4. Fold in the grated carrots and chopped walnuts (if using).
5. Pour the batter into a greased 9x13 inch baking pan.
6. Bake for 30-35 minutes, or until a toothpick inserted into the center comes out clean.
7. Allow the cake to cool before slicing and serving. Enjoy!