In a small bowl, combine the strawberries and 2 teaspoons sugar; set aside. On a lightly floured surface, unroll breadstick dough (do not separate). Seal perforations; brush dough with butter. Combine brown sugar and remaining sugar; sprinkle over dough. Reroll, starting with a short end. Cut along seam lines.
Place rolls cut side down on a greased baking sheet. Bake at 375° for 11-13 minutes or until golden brown. Brush with syrup. Serve with reserved strawberry mixture.