01 - Combine sugar and water in a small saucepan. Heat gently while stirring until sugar completely dissolves. Remove from heat and allow syrup to cool to room temperature before using.
02 - Add mango, strawberries, cooled simple syrup, and lime juice to blender or food processor. Blend on high speed until completely smooth and no fruit chunks remain.
03 - Taste the blended mixture and adjust sweetness with additional sugar or acidity with more lime juice as needed. Blend briefly to incorporate any adjustments.
04 - Pour mixture into a shallow freezer-safe container. Cover tightly and place in freezer for 1 hour to begin setting process.
05 - Remove container from freezer. Use a fork to vigorously stir mixture, breaking up any ice crystals that have formed. Return to freezer immediately.
06 - Continue removing sorbet from freezer every 30 minutes and stirring with fork to break up crystals. Repeat this process for 2–3 hours until sorbet is firm and smooth throughout.
07 - Let sorbet sit at room temperature for 5–10 minutes before serving to soften slightly for easier scooping. Scoop into chilled bowls or serving dishes.