Preheat oven to 350 degrees. Line a baking sheet with parchment paper.In a large bowl, whisk together sugar, egg, sour cream, and vanilla extract until completely combined. Add softened butter.In a separate bowl, whisk together flour, baking soda and salt.Add dry ingredients to wet and stir to combine. Knead until it just comes together, then mold into two balls.
Place each of the balls onto a parchment paper. Roll out each ball into large flat ovals using a rolling pin on two separate parchment papers. Place first oval onto a cooking sheet.
Slice apples thinly and set aside.
Add sliced apples on top of the first oval. Cover the apples with the second oval (you will carry it with the parchment paper) and pinch together to seal. Using a fork, pierce the top layer in multiple places and make a hole in the middle of the top layer.
Crumb Topping
Add flour, sugar to the bowl. Cut butter into small pieces and use your fingers to rub in the butter. Use just your finger-tips (not your warm hands) and quick motions, pinching your fingers to mash the small pieces of butter into the dry ingredients until moist crumbs form.
Add crumb topping on top.
Bake for 35 to 45 minutes, or until a toothpick inserted in the center comes out clean.