Rašić was born on June 13, 1858, in Aleksinac to father Petar, a court clerk, and mother Katarina.

He graduated from the academy in September 1880, eighth in his class, ahead of Stepa Stepanović and Živojin Mišić.

He remained in that position until 12 April 1878 when he acted as an officer in the headquarters of the same brigade, assigned to the duties of the newly liberated Vranje district.

In the same period, from June 1903 to August 1906, he served as artillery inspector at the Ministry, and until January 1907, was commissioner for border disputes against Turkey.

In July 1910, he was detained, together with Colonel Damjan Vlajić, on charges of "improper receipt of ammunition and artillery material".

He remained in that position until the Austrian Empire declared war on the Kingdom of Serbia when he was immediately appointed commander of the Combined Division of the 1st call-up.

[4] In June 1917, due to organizational changes in the French army, he was appointed to a new position - head of the Serbian military mission in France.

In the newly formed cabinet of Stojan Protić, from 7 December 1918, he was again department head and remained in that position until 30 March 1919, when he officially resigned.

[3] Rašić married Leposava, the daughter of Gliša Isajlović, a telegraph operator and post office manager.

[citation needed] They had three sons: Svetozar, Branivoje, and Dragoljub and three daughters: Katarina, Ružica, and Jelena.

Rašić's daughters Katarina, Ružica, and Jelena were married to General Dragomir Ž. Stojanović, pharmacist Sima Protić, and industrialist Vladimir Đorđević respectfully.

Academician's grandson Dimitrije Đorđević (historian) was a professor of history at the University of California, Santa Barbara from 1970 to 1991.