Preheat oven to 350 degrees F (175 degrees C). Line a baking sheet with parchment paper.
Beat 1 1/2 cups white sugar and butter together in a bowl with an electric mixer until creamy, about 3 minutes. Beat egg into butter mixture. Add strawberry puree.
Stir flour, vanilla extract, baking powder, and salt into strawberry mixture with a spoon until flour is completely incorporated into dough.
Stir 1/2 cup white sugar and red sugar together in a shallow bowl.
Roll dough into walnut-sized balls, roll each ball in red sugar mixture, and place each ball 1 1/2 inches apart onto prepared baking sheets. Lightly press each dough ball down to flatten.
Bake cookies in the preheated oven until lightly browned, 10 to 15 minutes. Cool.
You can substitute 2 teaspoons strawberry extract for the strawberry puree.
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