Heat 1 tablespoon extra-virgin olive oil in a sauce pot or grill pan over medium-high heat. Add onions, peppers and saute to soften 3 to 4 minutes, then add mango and season with salt and pepper. Stir in soy sauce, Worcestershire, ginger, a little zest of citrus fruits, honey, stock and hot sauce. Cook the sauce for 10 minutes, add the orange and lime juice and cook for 2 minutes more, to thicken. Remove the ginger chunk.
Heat a grill pan over medium-high heat. Coat the meats with a drizzle of olive oil and season with salt and pepper. Grill the chicken breasts 12 minutes turning once and the lamb a couple of minutes on each side for pink centers. Plate the meats on a serving platter, top with sauce and garnish with spicy-sweet greens and herbs.