Barišić was born in Oćevija, a small village near Vareš, at the time part of Bosnia Eyalet of the Ottoman Empire.

His cousin Gabrijel Barešić was also a Franciscan who served as the bishop of Lezhë (in present-day Albania) in Rumelia Eyalet.

In Torino, he held a public discussion from philosophy, which served as a condition for licentiate for the professorship and for the so-called rigorous exams.

[1] On 27 March 1832, Barišić was appointed Apostolic Vicar of Bosnia and the titular bishop of Ashdod (in present-day Israel).

He tried to establish the church hierarchy in Bosnia, which the Bosnian Franciscans opposed, sawing this as a threat to their privileges.

The dispute reached its peak during the tenure of the two Bosnian Provincials – Andrija Kujundžić and Stipe Marijanović.

During the visitation of friar Šimun Milanović, the dispute was somewhat mitigated, and the agreement between the bishop and the Bosnian Franciscans was signed on 9 October 1839 and was publicly pronounced by Barišić on 13 January 1840.

The Herzegovinian Franciscans established contact with Vizier Ali Pasha Rizvanbegović, who was granted his own Herzegovina Eyalet by the Ottoman sultan for his loyalty during the Bosnian uprising.

[7] In 1843, Barišić returned from a trip in Albania and stayed in Čerigaj, where Vidošević helped him to establish a connection with Ali Pasha.

[7] In 1845, Barišić wrote to the Propaganda to allow him to move to Herzegovina, stating that form there, he would also serve the Diocese of Trebinje-Mrkan and that Catholics and Muslims there "all love him and want him, including the Vizier".

[9] The main argument of the Herzegovinian Franciscans for the establishment of a special vicariate was the number of parishes and the faithful Catholics in Herzegovina.

[11] The secretary of the Propaganda wrote to Barišić on 13 March 1846, informing him about the success in the negotiations and called him to resign from the office of the Apostolic Vicar of Bosnia "as soon as possible",[9] which he did.

[11] On 29 April 1846, the Propaganda informed Barišić that he should move to Herzegovina immediately after he receives a ferman of approval from the Sultan.

[16] In June 1861, Barišić became seriously ill. His health deteriorated in 1862, so he moved from Mostar to the Franciscan monastery in Široki Brijeg.