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.
03 - Set aside 1 cup of the crumble mixture for the topping. Transfer the remaining mixture to the prepared pan and press it firmly into an even layer across the bottom to form the crust.
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 pressed crust.
05 - Scatter the reserved crumble mixture evenly over the fruit filling, allowing some fruit to peek through.
06 - Bake for 40 to 45 minutes, until the top 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. Use the parchment overhang to lift the slab out, then cut into 12 even bars. Serve at room temperature or chilled.