Preheat your oven to 350°F and line a standard 12-cup muffin tin with paper liners. While the oven heats, prepare your ingredients: peel and core the apple, cut it into 1-inch chunks, and shred the carrot into fine 1/8-inch strands (a box grater works perfectly for this). Measure out all dry ingredients and the flax meal so everything is ready when you need it.

Combine the flax meal and water in a small bowl and stir well to combine. Let this mixture sit for 5 minutes to hydrate and thicken into a gel-like consistency—this creates structure and binding in your muffins, similar to a traditional egg. While this is setting, you can move on to preparing your dry ingredients.

Add the rolled oats to your blender and blend on high speed for 1-2 minutes until they transform into a fine flour consistency. Pour the ground oats into a small bowl and whisk together with the salt, baking powder, baking soda, and cinnamon. Set this dry mixture aside—you'll fold it in at the end to preserve the leavening power of the baking powder and baking soda.

Add the flax egg from Step 2, vanilla, maple syrup, apple chunks, shredded carrot, melted and cooled coconut oil, and almond milk to your blender. Blend on high speed for 60-90 seconds until the mixture is smooth and the fruit is fully incorporated—you want a uniform batter with no large apple chunks remaining. I like to stop and scrape down the sides halfway through blending to ensure everything combines evenly.

Pour the blended wet mixture from Step 4 into a large bowl, then add the dry ingredient mixture from Step 3. Using a spatula or wooden spoon, fold gently until just combined—avoid overmixing, which can result in tough, dense muffins. A few small streaks of flour are perfectly fine; stop folding as soon as you don't see dry ingredients.

Divide the batter evenly among the 12 lined muffin cups, filling each about three-quarters full. Bake in your preheated 350°F oven for 24-26 minutes, until a toothpick inserted into the center of a muffin comes out clean or with just a few moist crumbs. I prefer to rotate the pan halfway through baking to ensure even browning across all the muffins.

Remove the muffin tin from the oven and let the muffins cool in the pan for 5-10 minutes, then transfer them to a wire rack to cool completely. This prevents condensation from making them soggy on the bottom. Once cooled, they can be enjoyed immediately or stored in an airtight container for up to 4 days.