Preheat Oven and Line Pan:
Heat oven to 350°F (175°C). Fit a standard muffin pan with parchment or silicone liners.Puree Lentils:
Pulse lentils in a food processor until smooth. Alternatively, crush with a fork or potato masher. Reserve 3/4 cup of the lentil puree.Mix Wet Ingredients:
In a large bowl, combine the lentil puree with eggs, applesauce, vanilla, yogurt, and brown sugar.Combine Dry and Fold Carrots:
Stir in flour, cinnamon, baking soda, and baking powder until just incorporated; avoid overmixing. Gently fold in shredded carrots.Fill Liners and Top:
Divide batter among muffin liners, filling them to the brim. Top with coconut.Bake Muffins:
Bake for 20-25 minutes, until a toothpick inserted in the center emerges clean.Refrigerate Leftovers:
Keep in an airtight container in the refrigerator for up to 4 days.Freeze Muffins:
Wrap each muffin in parchment paper and place in a freezer-safe meal prep container for up to 1 month.Warm and Serve:
Warm and serve with butter.