To prepare, position the oven rack in the center and preheat the oven to 350°F. Next, lightly grease and flour both the sides and bottom of a 9" round springform pan. To prevent any dough from leaking during baking, tightly wrap the bottom and extend 1" up the sides of the pan with aluminum foil.
Using an electric mixer with the paddle attachment on medium speed, beat butter, sugar, and vanilla in a large bowl until well blended, approximately 3 minutes.
Mix flour, baking soda, cinnamon, nutmeg, and salt in a medium bowl for a well-blended mixture.
Gently introduce the eggs, one at a time, ensuring a thorough beating after each addition. Don't forget to pause and scrape the bowl and beaters when needed.
Start by adding half of the flour mixture and gently blend it on low speed. Next, incorporate the yogurt and continue mixing until everything is well blended. Finally, fold in the remaining flour mixture using a rubber spatula.
Evenly spread half of the batter (approximately 1lb 2 ounces if you're using a scale) into the prepared pan.
Evenly distribute half of the streusel mixture onto the batter.
Evenly spread the remaining batter over the streusel by spooning it.
Add two apple slices to the cake's top, gently pushing them in for a delightful garnish.
Evenly distribute the remaining streusel over the surface.
Achieve a golden-brown top and a clean toothpick test by baking for approximately 45-50 minutes. Then, let it cool on a wire rack until it reaches room temperature.
Divide the remaining apple slices in half, sauté them in a teaspoon of butter for two minutes, then drizzle with caramel sauce. Finally, mix them thoroughly and place the mixture in the center of the coffee cake.