Preheat oven to 350ºF.
In a small bowl, combine flax meal and water, stirring to combine thoroughly. Place in refrigerator while preparing other ingredients.
If desired, lightly toast pecans in skillet over medium heat before chopping. Keep over heat for approximately 3 minutes.
In a large bowl, mix flour, baking soda, baking powder, salt, and cinnamon. Whisk together to thoroughly combine.
Using a stand or hand mixer, beat applesauce, light brown sugar, granulated sugar, and vanilla extract until combined. While beating, slowly pour in the flax eggs.
Add the dry ingredients in spoonfuls, stirring slowly. Continue stirring until the dry ingredients are completely incorporated into the wet. Fold in the diced apple and chopped pecans.
Pour batter into skillet and bake for about 35 - 40 minutes until a toothpick inserted in the middle of the cake comes out clean.
Enjoy warm with topping of your choice.