Preheat outdoor grill (our preference) to medium heat. When the grill is hot, place everything on at the same time in a single layer. Cook until desired doneness is reached, flipping once (about 7 minutes per side for chicken breasts, 3-4 minutes per side for chicken thighs, or see this tutorial for
How to Grill the Perfect Steak.) You may need to remove the vegetables before the meat is done- just transfer to a plate and cover loosely with foil. When the meat is done, transfer to a plate and allow to stand for a few minutes, tented with foil, then slice the meat. Drizzle reserved marinade over finished meat and veggies and serve.