[1] Badžović was also one of the early Macedonists, who developed some kind of pro-Serbian Slav Macedonian identity.
[2] Despot Badžović and his brother Đorđe graduated at the Second Department of the Belgrade Orthodox Seminary[3] founded by Miloš Milojević.
In 1871 Badžović opened a Serbian school in Kruševo for about 60 students where he and his brother Đorđe were the first teachers.
[6][7] During the Serbian-Ottoman War Badžović distinguished himself by mobilizing volunteers who illegally crossed the Ottoman-Serbian border to join Serbian forces[8] and as a company commander.
[14] Minister of Education Vladan Đorđević engaged Badžović to participate in composing of the alphabet book for the Serbian Schools in Macedonia.