Preheat the oven to 350°F (175°C). Grease and flour a loaf pan.

In a mixing bowl, whisk together the dry ingredients: flour, baking powder, baking soda, cinnamon, and salt.

In another bowl, combine the granulated sugar, brown sugar, vegetable oil, eggs, and vanilla extract until well blended.

Add the wet ingredients to the dry ingredients and mix until just combined.

Fold in the grated zucchini and carrots until evenly distributed.

Pour the batter into the prepared loaf pan and smooth the top.

Bake in the preheated oven for 45-50 minutes, or until a toothpick inserted in the center comes out clean.

Allow the loaf to cool in the pan for 10 minutes before transferring to a wire rack to cool completely.