Bishop Rogić was born into a Croatian Roman Catholic family of Ivan and Marica Rogić in the upper Adriatic coast of Croatia.
After graduation from a primary school in his native Senj, he attended gymnasium at the Zmajević Minor Seminary in Zadar (1980–1984) and consequently joined the Theological Faculty at the University of Rijeka (1985–1990) and the University of Zagreb (1990–1991),[1] and was ordained as priest on 22 June 1991 for the Archdiocese of Rijeka–Senj,[2] after completed his philosophical and theological studies. Nine years later, on 25 May 2000, he was incardinated in the new created Diocese of Gospić-Senj.[2]
After returning from Rome, he was a lecturer at the Cathedra of Theology at the University of Rijeka (1996–2010), student chaplain in Rijeka (1996–2000) and parish priest of the Parish of the Assumption of the Blessed Virgin Mary in Rijeka (1997–2000). He was the Vicar General of the Diocese of Gospić-Senj from 2000 to 2004, and then the dean of the Parish of the Holy Cross in Ogulin from 2004 to 2012. From 2012 to 2016, he was dean of Udbina and Podlapača, and director of the National Shrine of Croatian Martyrs in Udbina. He has been a member of the Council of Counselors and the Presbyteral Council of the Gospić-Senj Diocese and a canon of the Senj Chapter since 2012 until 2016.[1]