KFC Corp. and some customers are embroiled in a beef over a free meal that never came to be.

In May, the fast-food chain promoted a giveaway of two pieces of grilled chicken, two individual side dishes and a biscuit on “The Oprah Winfrey Show.” Demand was so high that the company had to scale back the offer.

James Asanuma and Veronica Mora were feeling so peckish that they filed suit against KFC and its parent company, Yum Brands Inc., in Los Angeles County Superior Court on Wednesday and are seeking class-action status. The complaint accuses KFC of false advertising, fraud and unfair business practices.