Delta, United Airlines and American Airlines fly from Atlanta to Shreveport every 3 hours. Alternatively, Greyhound USA operates a bus from Atlanta to Shreveport 5 times a day. Tickets cost $50 - $150 and the journey takes 12 h 45 min.
From Garnett Station subway to Atlanta airport, fly to Shreveport airport, then taxi to Shreveport. 3 h 20 min $457. From Atlanta, GA bus to Shreveport, LA. 12 h 45 min $60. From Atlanta drive to Shreveport. 9 h 51 min $71.