Preheat the oven to 350 degrees Fahrenheit.
Combine the melted coconut oil, applesauce, orange juice, maple syrup, eggs, and vanilla in a large bowl, whisking to combine.
To the same bowl, add the oat flour, almond flour, salt, baking soda, and cinnamon, stirring until well combined. Add the carrot, walnuts, and raisins, stirring again until well incorporated.
Grease or line a 12-cup muffin pan with silicone liners. Spoon 3-4 heaping tablespoons of batter into each cup.
Bake the muffins for 25 minutes, or until the tops are slightly browned and a toothpick comes out clean when inserted into the center of a muffin.
Remove from the oven and allow to cool. Serve warm, or store in the refrigerator in a tightly sealed container for up to 5 days. Alternatively, freeze the cooled muffins in a tightly sealed container for up to 1 month.