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 - Press the remaining crumble mixture firmly and evenly into the bottom of the prepared pan to form a compact crust layer.
04 - In a separate bowl, gently toss the diced strawberries and rhubarb with granulated sugar, cornstarch, lemon juice, and vanilla extract until the fruit is evenly coated.
05 - Spread the fruit filling in an even layer over the pressed crust. Sprinkle the reserved 1 cup of crumble mixture evenly across the top.
06 - Bake for 40 to 45 minutes, until the topping is deep golden brown and the fruit filling is bubbling around the edges.
07 - Allow the bars to cool completely in the pan on a wire rack. Once set, lift the slab out using the parchment overhang and cut into 12 squares. Serve at room temperature or chilled.