Melt butter and oil in skillet over medium-high heat. Add onions and garlic and stir while cooking, 1 minute.
Reduce heat to low, cover and cook, stirring every 5-8 minutes, until onions are very dark, about 30 minutes.
Transfer to bowl and cool completely before stirring in Chobani, mayonnaise, garlic powder, onion powder and salt. Cover and chill.
Serve with chips or crackers.