The reorganization of the Caucasus Army into the Caucasus Front was undertaken by the Russian Provisional Government as part of the military reforms following the February Revolution. During its entire year of existence, the Front was in a process of disintegration as revolutionary propaganda, the weakening of military discipline, desertion, and disease sapped the Front's strength.
General Yudenich was the commander of the Front at its creation. On May 31, 1917, he was removed for refusing to obey the Provisional Government's orders to resume offensive operations against the Turks, and was replaced by General Przhevalsky.
On December 5 1917 the Armistice of Erzincan was signed between the new Soviet government of Russia and the Turkish Third Army, formally ceasing fighting in the Caucasus. Nevertheless, the Turks continued some offensive operations, taking advantage of the fact that the Caucasus Front had effectively ceased to exist as a cohesive military force. Such resistance as the Turks met was offered by Armenian volunteer militia units. This was followed on March 3, 1918 by the Treaty of Brest-Litovsk ending all hostilities with the Turks.
Since the Caucasus Front dissolved, it did not have a true successor organization. The Army of the North Caucasus, which was renamed 11th Army on October 3, 1918, constituted the main Soviet army in the area during the Russian Civil War.
Sources
Peter Kenez (1971). Civil war in South Russia, 1918: the first year of the Volunteer Army. University of California Press. ISBN978-0-520-01709-2.