Wash hands with warm, soapy water for 20 seconds.
Preheat oven to 400°F. Coat muffin tins with nonstick cooking spray.
Combine oats, flour, baking powder, cinnamon, and salt in a large bowl and mix until combined.
Add applesauce, carrots, vanilla, yogurt, and eggs. If using canned carrots, drain them first and rinse under cool water. Dice into small pieces then add to batter.
Stir until just mixed.
Spoon muffin mixture into pre-greased muffin tins.
Bake for 23-28 minutes.
Serve warm or cool. Eat or refrigerate within 3 days.