Aleksandar Bačko is descendent of Nikanor Grujić, Orthodox Bishop of Pakrac and locum tenens Serbian Patriarch, by his brother Dragutin Grujić, archpriest of Mohacs, parish priest of Kacsfalu and assessor of Buda bishopric consistory.
Born as Milutin Grujić on December 12, 1810 or December 1 (Julian calendar) in Lippó (Lipova), Baranya county (then Austrian empire) to Very Reverend Prokopije Grujić and Agripina, née Kosić.