Combine the seasoning, olive oil red wine vinegar, salt, pepper, garlic and lemon juice in a bowl; whisk to combine. Add in the chicken. Cover and chill at least 1 hour.
Prepare grill over medium-high heat. Thread chicken pieces on skewers, dividing equally. Discard marinade in bowl. Sprinkle each skewer with additional gaby’s go-to seasoning.
Grill chicken until golden brown and cooked through, turning skewers occasionally, 10 to 12 minutes total. Transfer skewers to platter. Serve with basil vinaigrette and extra lemon wedges