In a mixing bowl, whisk together the white wine vinegar, olive oil, white wine, oregano, thyme, salt, minced garlic, and Tabasco sauce until well combined.
Cut two whole chickens in half and place them in a large zip-top bag or a shallow dish.
Pour the marinade over the chicken, ensuring each piece is coated well.
Seal the bag or cover the dish and refrigerate. Marinate for several hours, ideally overnight for maximum flavor.
Preheat your grill to medium heat.
Remove the chicken from the marinade and let excess marinade drip off.
Grill the chicken halves slowly, skin side down first, for about 30 minutes, then flip and continue cooking for another 30 minutes or until the internal temperature reaches 165°F (75°C).
Let the chicken rest for 10 minutes before serving.