Preheat the oven to 350 degrees.
Combine garlic, oregano, lemon juice, onion powder, white wine and olive oil in a bowl and mix.
Add chicken breast to marinade and mix well into chicken. Refrigerate for 30 minutes.
Cook Brown Rice according to instructions on preferred cooking method and hold.
Remove skin and seeds from english cucumber and sprinkle with salt to remove the moisture from the cucumber. Let it set aside for 30 minutes.
Dice tomatoes and cucumbers and set aside.
After 30 minutes remove chicken from marinade and grill chicken breast or immediately place in the oven until internal temperature reaches 165 degrees.
While the chicken is cooking, clean off salt from the english cucumber with a paper towel and try to gently ring out remaining water in the cucumber. Chop cucumber into a fine dice and mix it with the yogurt, finely minced mint and dried dill until fully incorporated. Set Taziki Sauce aside.