Add flour, salt, and baking soda to a large bowl and combine.
Add eggs, coconut sugar, coconut oil or butter, and yogurt to a medium bowl and combine with a hand mixer until smooth.
Add wet ingredients to dry ingredients and combine with a stirring utensil.
Cover bowl and let rest at room temperature for about 6 hours.
After 6 hours, fold diced apples and shredded carrots into batter.
Preheat oven to 350 degrees Fahrenheit.
Line a standard 9x5-inch loaf pan with parchment paper.
Turn batter into prepared loaf pan, and evenly spread batter into prepared pan.
Bake on the center rack for about 1 hour. The loaf is ready when it is slightly golden brown on top, and when a knife or toothpick comes out clean when inserted in the center. This will ensure the center cooks through.
It's best to remove from the loaf pan using the parchment paper when cooling, and setting on a wire rack to cool. Otherwise too much moisture may collect on the bottom and may be a bit soggy.
Let cool for 45 minutes before serving.
Enjoy slightly warm or at room temperature.
Enjoy!