Preheat your oven to 350°F (175°C) and grease a loaf pan.
In a large bowl, mix the grated carrots, grated apples, and sugar together.
Add the vegetable oil, eggs, and vanilla extract to the carrot-apple mixture; mix well.
In another bowl, whisk together the flour, baking soda, cinnamon, and salt.
Gradually add the dry ingredients to the wet mixture, stirring just until combined.
Pour the batter into the prepared loaf pan.
Bake for 50 minutes or until a toothpick inserted into the center comes out clean.
Allow the bread to cool in the pan for 10 minutes, then transfer to a wire rack to cool completely.