Preheat the oven to 350 degrees F (175 degrees C) and grease two standard loaf pans.

In a large mixing bowl, combine granulated sugar, brown sugar, eggs, vegetable oil, and vanilla extract until light and airy.

In a separate bowl, sift together flour, baking soda, salt, cinnamon, and nutmeg.

Gradually fold the dry mixture into the wet ingredients until just combined.

Gently fold in grated zucchini and diced apple into the batter.

Divide the batter evenly between the loaf pans and smooth the tops.

Bake for 35 minutes, then tent with foil and continue baking for an additional 20-25 minutes.

Check for doneness with a toothpick and allow to cool in pans for 10 minutes before transferring to a wire rack.