Only cards exiled by Living Death's first instruction are put onto the battlefield. If a replacement effect (such as that of Leyline of the Void) causes any of the sacrificed creatures to be exiled instead of put into a graveyard, those cards aren't returned to the battlefield.

As Living Death resolves, all players exile their creature cards from graveyards at the same time. Then all players sacrifice all creatures they control at the same time. Then all players put all creatures they exiled onto the battlefield at the same time.