What country builds the Airbus engine?

There are two places Airbus engines are made.General Electric's engines are made in Cincinnati, Ohio, USA.

Rolls-Royce engines are made in Derby, England. (If you want a small chuckle, go to google Maps, find "Rolls-Royce, Darby, England" and switch into Street View mode. Rolls-Royce's factory is right across the street from a Mercedes-Benz dealership.)