Due to injuries to Max Fried and Kyle Wright the Braves have a very short rotation and have been forced to throw multiple bullpen games recently, losing all of them.
While the games themselves haven't been complete disasters from the pitching perspective, those aren't games you expect to win in a low-scoring fashion, and simply put, the Braves offense hasn't been good enough when they need it to carry the team to a win.
In the Braves first bullpen game loss, the offense mustered just 2 runs in a loss to the Boston Red Sox. A week later the offense was better, but it was another bullpen loss to the Blue Jays 6-5, in a game where the Braves actually had a lead heading into the 9th inning. Most recently the Braves only scored 3 runs in a game started by Jesse Chavez, a 7-3 loss to the Seattle Mariners.
At the end of the day, the 0-3 record in bullpen games isn't solely due to awful pitching performances, but to a lack of hitting as well, and that needs to change because the rotation might not.
The Braves have already added Jared Shuster to the rotation to limit bullpen games, but may still need one if they don't call up Dylan Dodd, Michael Soroka, or AJ Smith-Shawver for Thursday's game against the Phillies.