Preheat your oven to 350.
In a medium sized bowl, whisk together your eggs, sugar, oil, applesauce, and vanilla extract.
Add in your orange juice and zest and mix well.
Fold in your flour, salt, and baking powder. Gently whisk together until its fully incorporated, breaking up any clumps.
Line a 9 x 5 loaf pan with parchment paper. Pour your batter into the pan and bake for 55-60 minutes. The top should be brown and a toothpick should come out clean. My oven needed 55 minutes. It may rise a lot, but will come down a bit once it cools.
Remove from oven and let cool for at least 15 minutes.
For the glaze, whisk together the powdered sugar, orange zest and milk- starting with 1/2 a tbsp. The glaze should be thick and easy to pour. If needed, add another 1/2 tbsp of liquid. If it's too wet, add more powdered sugar by the tbsp until its reached desired consistency.
Slice your loaf and enjoy!
Store in a cool place for up to 3 days, or refrigerate for a week. Leftovers can be frozen for up to 2 months.