While the crust bakes, whisk together sugar and cornstarch in a large bowl.
Add the eggs and whisk until smooth.
Whisk in the cooled reduced raspberry puree.
Slowly whisk in the fresh lemon juice.
Pour the Lemon Raspberry Bars filling over the warm baked crust.
Return to the oven and bake for 20–25 minutes until the top is set.
Remove from the oven and cool in the pan for at least 1 hour.
Cover and refrigerate for at least 2 additional hours.
Lift the bars from the pan using the parchment overhang.
Slice with a sharp knife, wiping the blade clean between cuts for neat edges.