In a saucepan, bring the fruit, sugar and lemon juice to the boil; reduce heat and simmer until tender, about 10 minutes. Whisk the cornstarch with 2 tablespoons cold water; whisk into strawberries and rhubarb and boil, stirring until thickened, about 1 minute. Place plastic wrap directly on the surface, so a skin doesn’t form, and refrigerate until cold, about 1 hour.
In the bowl of a food processor, add the oats, flour, brown sugar, lemon zest, salt and butter. Blend on the pulse setting until a breadcrumb texture is achieved, about 1 minute. Press half of the mixture into the prepared pan; being sure that you’ve pressed firmly. Spread with the strawberry rhubarb filling. Sprinkle with the remaining mixture, pressing lightly.
Preheat the oven to 350f (180c) and bake the bars until golden brown, about 40 minutes. Let cool in the pan on a rack. Cut into squares.