01 - Preheat the oven to 350°F. Grease a 9×9-inch baking dish with butter or nonstick spray.
02 - In a large mixing bowl, stir together the oats, cinnamon, nutmeg, ginger, baking powder, and salt until evenly distributed.
03 - In a separate bowl, whisk the eggs, milk, maple syrup, vanilla extract, applesauce, and melted coconut oil until smooth and well blended.
04 - Pour the wet mixture into the dry ingredients and stir gently until just combined. Avoid overmixing.
05 - Gently fold in the grated carrots, chopped nuts, raisins, and shredded coconut (if using) until evenly distributed throughout the batter.
06 - Pour the mixture into the prepared baking dish and use a spatula to spread it into an even layer, smoothing the top.
07 - Bake for 35 to 40 minutes, or until the top is golden brown and the center is firmly set. A toothpick inserted in the middle should come out clean.
08 - Let the baked oatmeal cool in the dish for 10 minutes before slicing into portions. Serve warm or at room temperature.