Preheat the oven to 350°F. Grease a 9x13 baking dish or line it with parchment paper.
In a large bowl, stir together the melted butter, granulated sugar, brown sugar, and vanilla extract.
Add the flour, baking powder, salt, and cinnamon. Stir until the mixture forms soft crumbs.
Press about two-thirds of the crumb mixture into the bottom of the prepared baking dish.
In a separate bowl, gently toss the black raspberries with sugar, cornstarch, lemon juice, vanilla extract, and salt.
Spread the berry filling evenly over the crust.
Sprinkle the remaining crumble mixture over the top.
Bake for 45 to 50 minutes, or until the topping is golden and the berry filling is bubbling around the edges.
Cool completely before slicing. For cleaner slices, chill before cutting.