Preheat oven to 180°C (350°F). Line or grease 2 muffin pans (24 muffins total).
In a large bowl, whisk together eggs, yogurt, oil, date paste, and vanilla until smooth.
Stir in carrots, coconut, and raisins.
In a separate bowl, mix oats, flour, baking powder, baking soda, cinnamon, and salt.
Fold dry ingredients into the wet mixture until just combined. If the batter feels too thick, add 1–2 tablespoons of milk.
Divide batter evenly into muffin cups (about 3/4 full).
Bake for 18–22 minutes, or until a toothpick comes out clean.
Let cool for 5 minutes in the pan, then transfer to a wire rack.