Preheat oven to 350F. Line a 9x13 baking pan with parchment paper.
In a medium size bowl, add flour, baking powder, baking soda, cinnamon, nutmeg and salt. Whisk to combine.
In a large bowl, add almond milk, honey, applesauce, Greek yogurt and eggs. Whisk to combine.
Add the dry ingredients to the wet ingredients. Using a spatula, gently fold the dry ingredients into the wet ingredients until the flour mixture is incorporated. Do not overmix.
Add diced apples to the batter. Use a spatula to gently fold in the apples.
Pour batter into prepared baking pan. Use a spatula to spread batter to the edges of the pan.
Bake for 25-30 minutes or until a toothpick inserted into the center of the cake comes out clean.
Let cake cool in the pan for 10 minutes. Use the sides of the parchment paper to remove the cake from the pan. Let cake cool for 20 more minutes and then cut cake into 24 square pieces. Enjoy!