Preheat oven to 375 degrees F. Grease an 8 inch square pan.
Beat eggs and sugar until well blended in large bowl. Add applesauce and beat well.
Combine buttermilk with baking soda and stir into egg/sugar mixture in bowl.
Combine cornmeal, flour, and salt in separate bowl. Then add to wet mixture and mix until moistened. It’s okay for there to be a few lumps. Pour batter into the prepared pan.
Bake in the preheated oven for 30 to 40 minutes, or until a toothpick inserted in the center comes out clean. I’ve never been able to get a consistent cooking time with the muffins, so just poke them every once in a while after 20 mins and you should be fine.