Preheat your oven to 350°F (175°C). Line a muffin tin with muffin liners or lightly grease it.
In a large mixing bowl, whisk together the flour, baking soda, baking powder, salt, and cinnamon. Set aside.
In a medium bowl, beat the eggs, then mix in the granulated sugar, brown sugar, applesauce, grated zucchini, vegetable oil, and vanilla extract until well combined.
Pour the wet ingredients into the dry ingredients and gently stir until just combined. Do not overmix.
Fold in the blueberries carefully to avoid breaking them.
Divide the batter evenly among the 12 muffin cups, filling each about ¾ of the way full.
Bake in the preheated oven for 20-25 minutes or until a toothpick inserted into the center of a muffin comes out clean.
Remove from the oven and allow to cool in the pan for 5 minutes before transferring the muffins to a wire rack to cool completely.
For added flavor, feel free to add a sprinkle of lemon zest or chopped nuts to the batter.
Store the muffins in an airtight container at room temperature for up to 3 days or freeze for longer storage.