Step 1

Prepare a grill for medium-high heat. Pulse garlic, chiles, ginger, lime juice, orange juice, sugar, vinegar, and turmeric in a food processor until combined and almost smooth. With the motor running, gradually stream in ⅓ cup oil and process until emulsified.

Step 2

Pour half of the sauce into a small bowl; season with kosher salt. Set aside for serving. Transfer remaining sauce to a medium bowl and add shrimp. Season with kosher salt and toss to coat.

Step 3

Clean and oil grate, then immediately arrange shrimp on grill. Grill until bright pink and lightly charred, about 1 minute per side. Divide shrimp among bowls. Spoon reserved sauce over; sprinkle with sea salt. Serve with rice if desired.