Peel, core, and finely dice the Granny Smith and Red Delicious apples, then place them in a medium saucepan over medium heat. Add brown sugar, cinnamon, and vanilla, stirring gently until the mixture starts to bubble and the apples become tender, about 5–7 minutes.

Mix cornstarch with a tablespoon of water, then stir into the filling until thickened and glossy, about 2 minutes. Remove from heat and let cool slightly.

Sift the self-rising flour into a large bowl, then cut in the butter until crumbly, resembling coarse crumbs. In a small pan, heat the milk until just hot, then whisk in the egg yolks. Gradually mix the hot milk mixture into the flour until a dough forms.

Knead the dough gently on a floured surface until smooth, about 3–5 minutes. If time allows, wrap it in plastic wrap and refrigerate for 30 minutes.

On a floured surface, roll out the dough to about 1/8-inch thickness and cut into circles, roughly 5 inches in diameter. Place a tablespoon of the cooled apple filling in the center of each circle. Carefully fold each dough circle in half, pressing the edges together firmly to seal.

Use a fork to crimp the edges and ensure no filling leaks out while frying. In a deep skillet or large pot, heat about 2 inches of oil to 350°F (175°C).

Carefully lower the filled pies into the oil, frying them in batches for about 2-3 minutes per side until they are golden brown, turning halfway for even cooking. Remove with a slotted spoon and drain on paper towels.

In a bowl, mix the powdered sugar with a splash of vanilla and enough milk to reach a smooth drizzle consistency. Once the fried apple pies are still warm, brush the glaze generously over the tops.

Serve warm for the best taste, and enjoy your homemade Fried Apple Pies!