Preheat oven to 375 degrees F.
Line 13x9 inch baking dish with parchment paper.
Add all of the dry ingredients except the chopped walnuts and coconut flakes into the baking pan. Mix with a spatula or spoon to combine well.
Add in the carrots, plant-based milk, yogurt, sweetener, and vanilla extract. Stir well to combine and level out.
Top with chopped walnuts and coconut flakes.
Bake for 40 minutes.
Remove from oven and let cool a bit before serving. Store covered in the refrigerator.