Preheat grill to medium-high.
In a gallon plastic bag or a high-sided baking dish mix, whisk together the orange, lemon, and lime juice and zest, thyme leaves, grainy mustard, and EVOO. Place meat into the marinade and let sit for at least 15 minutes. If using all the meats and fish, place into separate containers making sure the different types of meat aren’t touching. Use the plastic gallon bag for easier cleanup and storage.