Why not ‘beef and chicken’ ? En English one seldom refers to chicken meat. The word chicken is used both for the live and dead animal, unlike most other meats (cow/beef, pig/pork, sheep/mutton deer/venison)
"Beef and chicken" is a perfect translation in British English when referring to what we eat. We don't talk about eating cow but we do say we eat chicken. Most of the beef in Britain is not from cows but from bullocks.