To make the marinade, blend the orange slices, chili sauce, lime juice, orange marmalade, salt, pepper, garlic, onion, and rice wine vinegar in a blender or food processor until mixed well. Add the olive oil and tamari or soy sauce and blend again until creamy.
Place the chicken breasts in a large bowl or gallon freezer bag and pour over the marinade jsut to cover, reserving ½ cup or more for using as a dressing for the bowls. Refrigerate the chicken for 20 minutes or overnight.
Preheat the oven to 425°F or the grill to high heat. If baking, bake the chicken for 20-25 minutes and set the oven to broil for the last minute or two of baking.
If grilling, place the chicken breasts on the hot grill. Cover and cook for 10 minutes then flip the chicken and cook for 5 minutes. Turn off one side of the grill and move the chicken to the other side and cook for 10 more minutes or until the breasts have an internal temperature of 165 degrees. The length of cooking time will depend on the thickness of the breasts. Remove from the grill and allow to rest for 5 minutes before slicing.
To make the broccoli rice, steam the blitzed broccoli in a microwave-safe bowl with sesame oil for 45 seconds. Toss and taste before adding more sesame oil to taste. Top with the sesame seeds and season with salt and pepper to taste.
To serve, divide the broccoli rice among the bowls, then add the chicken, fresh or grilled orange slices and garnish with lime, red chili flakes, and fresh cilantro or basil. Drizzle with the reserved sauce and eat up.