She said Greek yogurt was the subject of frequent questions. It's a style of yogurt, something like choosing to have drinkable yogurt instead of solid. It appears to have originated in the Middle East, and traditionally was called Greek yogurt, she said.t's a newer product to the United States, but is not called that because it's shipped in from Greece.. Frese said Greek yogurt is processed in a different way than the yogurts American consumers are more used to, and there is no one standard way to make and manufacture this type of yogurt.