Make the topping. Whisk granulated sugar, brown sugar, cinnamon, and salt in medium bowl until evenly combined. Add warm melted butter, and with a wooden spoon or spatula, stir to blend. Add flour and toss with fork until moist clumps form (topping mixture will look slightly wet). Set aside. 1 cup (213 g) packed light brown sugar ½ cup (100 g) granulated white sugar 1 ½ tablespoons ground cinnamon ½ teaspoon salt 1 cup (2 sticks, 226 g) unsalted butter, 2 ½ cups (300 g) cups all purpose flour
Prepare the pan. Position rack in center of oven and preheat to 350°F (177°C). Lightly grease a 9x13-inch baking dish. Set aside.
Sift the dry ingredients. In a large bowl, sift the flour, baking soda, baking powder, cinnamon and salt together. 2 ½ cups (300 g) all purpose flour 1 teaspoon baking soda ¾ teaspoon baking powder ½ teaspoon salt 2 teaspoons ground cinnamon
Cream the butter and sugar. Using electric mixer, on medium high speed, beat room-temperature butter in large bowl until smooth. Add sugar and beat until light and fluffy, about 2 minutes. ¾ cup (1 1/2 sticks, 170 g) unsalted butter, 1 ½ cups (300 g) granulated white sugar
Add remaining wet ingredients.. Add eggs 1 at a time, beating until well blended after each addition. Add sour cream (or yogurt), and vanilla extract and beat just until blended. 2 large eggs 1 ¼ cups sour cream (or Greek yogurt) 1 teaspoon vanilla extract
Add the flour gradually. Add flour mixture in 3 additions, beating just until incorporated after each addition.
Fold in chopped apples. With a rubber spatula, gently fold in chopped apples into batter. 2 large apples
Add crumb topping. Transfer cake batter to prepared baking dish; spread batter evenly with rubber spatula or offset spatula. Squeeze small handfuls of topping together to form small clumps. Drop topping clumps evenly over cake batter, covering completely (topping will be thick).
Bake the cake. Bake cake until tester inserted into center comes out clean and topping is deep golden brown and slightly crisp, about 1 hour. Cool cake in dish on rack at least 30 minutes. Cover and let stand at room temperature.
Make the icing. In a mixing bowl with a whisk, combine the icing ingredients until smooth. If it's too thick add a little more milk. If it's too thin, add a bit more powdered sugar. Drizzle over the cake. Cut cake into squares and serve slightly warm or at room temperature. 1 cup (114 g) powdered sugar 2 tablespoons milk ½ teaspoon vanilla extract