01 -
Preheat oven to 350°F. Butter and flour a 9 by 13-inch baking pan or line it with parchment paper.
02 -
Whisk together flour, baking powder, baking soda, salt, cinnamon, and nutmeg in a medium bowl until blended.
03 -
Beat softened butter and granulated sugar with an electric mixer until light and fluffy, about 3 to 4 minutes.
04 -
Incorporate eggs one at a time, mixing well after each addition. Stir in vanilla extract until blended.
05 -
Add flour mixture to butter mixture in three parts, alternating with Greek yogurt, beginning and ending with flour. Mix until just combined to avoid overworking.
06 -
Gently fold chopped apples into the batter ensuring even distribution without overmixing.
07 -
Spread batter evenly into prepared pan, smoothing the surface with a spatula.
08 -
Combine brown sugar, ground cinnamon, and melted butter in a small bowl until crumbly and damp.
09 -
Sprinkle cinnamon-sugar mixture evenly over batter. Bake for 35 to 40 minutes, or until a toothpick inserted in the center comes out clean or with moist crumbs.
10 -
Let cake cool in pan for at least 20 minutes. Whisk powdered sugar, milk, and vanilla extract until smooth and pourable.
11 -
Drizzle the vanilla glaze evenly over the cooled cake just before serving.