Preheat the oven to 375°F (190°C). Line a baker's half baking sheet with parchment paper and spray cooking spray all over the parchment paper and on the sides.
In a small bowl, combine flour, baking powder, cinnamon, baking soda, salt and nutmeg. Set aside.
In a mixing bowl with a paddle attachment, mix together eggs, Greek yogurt, oil, sugar, and brown sugar until well combined.
Add flour mixture and mix just until combined. Don’t overmix at this point.
Add grated carrots and gently fold the batter with a silicone spatula.
Pour the batter into the prepared baking sheet and tap a few times to get rid of bubbles.
Bake for 15-18 minutes, or until the top is golden brown and inserted toothpick comes out clean.