01 - Combine sugar and water in a small saucepan. Heat gently over medium-low heat, stirring constantly until sugar completely dissolves. Remove from heat and let cool to room temperature.
02 - Add mango, strawberries, cooled simple syrup, and lime juice to blender or food processor. Blend on high speed until completely smooth, scraping down sides as needed.
03 - Taste the mixture and adjust sweetness with additional sugar or acidity with more lime juice if desired. Blend again briefly to incorporate.
04 - Pour mixture into a shallow freezer-safe container. Cover tightly and place in freezer for 1 hour.
05 - Remove container from freezer. Stir mixture thoroughly with a fork to break up forming ice crystals. Return to freezer immediately.
06 - Repeat stirring process every 30 minutes for 2 to 3 hours until sorbet reaches firm, smooth consistency throughout.
07 - Let sorbet sit at room temperature for 5 to 10 minutes before serving to soften slightly for easier scooping.