Preheat the oven to 375F and line a 12-cavity muffin pan with papers.
Grate your zucchini, making sure to have enough for 2 cups of it. No need to squeeze out the excess water from it. Peel your carrots and grate them also. Set aside.
2 cups Zucchini, ¾ cup Carrot
Pour the melted butter to a large mixing bowl. Add to it the brown sugar and vanilla. Whisk until smooth and then whisk in 1 egg at a time. Whisk in the Greek yogurt and mix until smooth. Set aside.
⅓ cup Unsalted Butter, ½ cup Brown Sugar, 2 large Eggs, 1 teaspoon Vanilla Extract, 1 cup Greek Yogurt
Combine the dry ingredients in a separate smaller bowl and whisk to combine. Then add the dry ingredients to the wet. Fold until almost combined, but not completely.
2 cups All Purpose Flour, 1 tablespoon Baking Powder, 1½ teaspoon Cinnamon, ¼ teaspoon Salt
Add the grated zucchini and carrot to the batter and keep folding the batter until just combine and the dry ingredients have all been absorbed.
Divide the batter into the prepared muffin tin, filling them to the top of the cavities.
Bake the muffins in the preheated 375F oven for 25 minutes or until a toothpick inserted in the centre comes out clean. Let the muffins cool completely before enjoying.