Add the lime juice, orange jucie, olive oil, garlic, green onions, salt, cumin, oregano, and black pepper to a blender. Blend until smooth. If you want to have extra sauce to drizzle on the bowls, double the recipe.
Prepare the chicken by making sure it is all about the same thickness. Usually, I will cut the breast horizontally into two thinner breast pieces. This ensures they cook uniformly and also helps the marinade penetrate the chicken fully. Add the chicken to the marinade and marinate for at least 30-60 minutes.