Pre-heat oven to 375 degrees.
In a food processor, combine fruit juices,oregano, olive oil, cumin, chili powder, garlic, salt ,and tabasco. Pulse several times to mix everything together.
Put chicken in a baking dish lightly sprayed with cooking oil. Brush the chicken with citrus herb mixture and put in the oven.
Roast chicken for 40 to 45 minutes, basting or brushing every 7 or 8 minutes, turn the chicken over after 20 minutes.
Use an instant-read thermometer to the check chicken. Remove the chicken from the oven once the internal temperature reaches at least 160° F.
Place the chicken onto a serving plate and tent with foil for at least 5 minutes to allow the juices to settle.
Season with salt and pepper then serve hot.