Step 1

Preheat oven to 375º F and lightly grease and flour a springform pan.

Step 2

In a medium bowl, beat together eggs and milk until fully combined.

Step 3

Whisk together flour, baking powder, salt and cinnamon in a large bowl.

Step 4

Using a pastry cutter or your hands, cut butter into flour mixture until it resembles pebbles, then mix in sugar and fold in apples until evenly incorporated.

Step 5

Pour beaten eggs and milk into apple mixture, mixing until a thick, dough-like batter begins to come together.

Step 6

Once wet ingredients have been completely folded into dry mixture, transfer dough to prepared springform pan and spread into an even layer, then sprinkle with 1-2 tablespoons sugar.

Step 7

Place cake pan in oven and bake for 45-55 minutes, or until toothpick inserted in center comes out clean and top of cake is golden brown.

Step 8

Remove from oven and let cool at least 15 minutes before serving.

Step 9

For the sauce: whisk egg yolks and sugar together in a medium bowl until light yellow and ribbony. 2-3 minutes.

Step 10

Pour milk into a medium saucepan over medium-high heat and scald until almost boiling, when bubbles just start to appear on outer edge of milk.

Step 11

Remove milk from heat and, while whisking continuously, pour into egg mixture until smooth, then return all of mixture to saucepan.

Step 12

Over medium heat, cook custard for 3-5 minutes, or until it thickens slightly and coats the back of spoon.

Step 13

Remove from heat and stir in vanilla extract, then transfer to serving container.

Step 14

When ready to serve, cut cake into slices, top with custard and enjoy!