01 - Preheat oven to 350°F. Line a 9x9-inch baking pan with parchment paper, leaving an overhang on two sides for easy removal.
02 - In a large bowl, whisk together the flour, oats, granulated sugar, brown sugar, baking powder, and salt. Pour in the melted butter and stir until the mixture forms moist, crumbly clumps. Set aside 1 cup of the mixture for the topping.
03 - Transfer the remaining crumble mixture to the prepared pan and press it firmly and evenly into the bottom to form a solid crust layer.
04 - In a separate bowl, toss the diced strawberries and rhubarb with granulated sugar, cornstarch, lemon juice, and vanilla extract until the fruit is evenly coated. Spread the filling in an even layer over the crust.
05 - Scatter the reserved crumble mixture evenly across the top of the fruit layer, allowing some fruit to peek through.
06 - Bake for 40 to 45 minutes, until the topping is deep golden and the fruit filling is bubbling around the edges.
07 - Allow the bars to cool completely in the pan on a wire rack. Use the parchment overhang to lift the slab out, then cut into 12 even bars. Serve at room temperature or chilled.