The Braves have won twice in a row after losing their first four games of the season.
Jason Hayward had two RBI for the Braves, driving in a run with a single in the second that made it a 1-1 game and also delivering a solo homer in the eighth.
The double by Ross gave Atlanta a 3-1 lead in the fourth and the Braves tacked on a run later in that inning on a successful squeeze bunt by Jack Wilson.
The win went to Randall Delgado (1-0), who worked five innings while giving up two runs on five hits. Craig Kimbrel struck out the side in the ninth for his second save.
Wandy Rodriguez (0-1) was touched for four runs on five hits in five innings to take the loss.