Irakli's elder son, Prince Georgi Bagrationi-Mukhraneli, was officially recognized by government and church leaders when he brought his father's remains from Spain to rest with those of his ancestors in Svetitskhoveli Cathedral at Mtskheta in 1995, and took up residence in Tbilisi in 2005, where he died.
Putra sulung Erakle, Pangeran Georgi Bagrationi-Mukhraneli, secara resmi diakui oleh pemerintah dan pemimpin gereja ketika dia membawa jasad ayahnya dari Spanyol untuk beristirahat dengan orang-orang leluhurnya di Katedral Svetitskhoveli di Mtskheta pada tahun 1995, dan tinggal di Tbilisi. pada tahun 2005, di mana dia meninggal.