Onions and garlic belong to the allium family. The delicious foundation of may recipes, they also impart disease-fighting, health-promoting properties.. Think of your favourite savoury recipes.You would probably be hard-pressed to choose one that does not start by sauteing sautÃ©ing onions or, garlic or. bothhink of your favourite savoury recipes. You would probably be hard-pressed to choose one that does not start by sauteing sautÃ©ing onions or, garlic or. Both onions and garlic belong to The allium, genus in the same plant family as the. lily