Preheat oven to 350°F (175°C) and grease a 9x9 inch baking pan or line with parchment paper.
In a large bowl, whisk together the flour, oats, brown sugar, salt, and baking soda.
Add the cubed cold butter to the dry ingredients and use a pastry cutter or fork to integrate until the mixture resembles coarse crumbs.
Press approximately two-thirds of the oat mixture firmly into the bottom of the prepared baking pan to create the base layer.
In a medium bowl, combine the rhubarb, strawberries, granulated sugar, cornstarch, and lemon juice, tossing well to coat the fruit.
Spread the fruit mixture evenly over the prepared crust.
Sprinkle the remaining one-third of the oat mixture evenly over the fruit layer.
Bake for 45 to 50 minutes, or until the topping is golden brown and the fruit filling is bubbling.
Remove from oven and allow the bars to cool completely in the pan on a wire rack before slicing into squares.