In a medium bowl, stir together yogurt, orange juice and all seasonings. Blend well. Add the goat meat cubes to the bowl, stir to coat with the marinade, cover and refrigerate for 4 - 24 hours.
Remove the meat from the marinade, pat lightly with paper towels to dry. Place meat evenly on the skewers. Grill over medium-hot coals, turning frequently, for about 10 minutes until nicely brown.