Twitty is a graduate of South Carolina State University and a member of the Omega Psi Phi fraternity.

[7] Twitty is an infantryman; his duty assignments include rifle platoon leader, scout platoon leader and battalion S-3 air officer from August 1985 to May 1989 with 1st Battalion, 327th Infantry Regiment, 101st Airborne (Air Assault) Division at Fort Campbell.

From July 2009 to September 2010, he served as the chief of staff, United States Army Central, Operation Iraqi Freedom.

From September 2010 through March 2012, he served as the deputy commanding general (operations) for the 1st Armored Division at Ft. Bliss.

From March 2012 to April 2013, Twitty served as the Deputy Chief of Staff for Strategic Communication, International Security Assistance Force (ISAF), Operation Enduring Freedom, Afghanistan.

[8] Twitty served as the Deputy Chief of Staff for Operations for United States Army Forces Command at Fort Bragg, North Carolina.