And according to manager Mike Scioscia, the hard-throwing duo didn't disappoint, combining to throw 1 2/3 scoreless innings.
"I think their outings were terrific," Scioscia said. "They felt great afterward, and we'll see how they feel tomorrow."
Rodney, who signed a two-year, $11 million deal as a free agent this offseason and has been battling sore shins this spring, was the first to take the mound, entering in the fifth inning against the heart of the Dodgers' lineup.
The flamethrower allowed a bloop single to Blake DeWitt and a hard line-drive single to Andre Ethier before getting Matt Kemp to ground out into a double play.
But he then had some control problems, walking Jason Repko and Casey Blake before making way for reliever Jon Bachanov, who got out of the jam by retiring Reed Johnson.
Jepsen, who has been limiting his Spring Training workload after throwing 54 2/3 innings as a rookie last season, came in for the sixth inning. He got Doug Mientkiewicz to line out to right field on the first pitch before showing off his electric stuff by striking out Nick Green and DeWitt later in the inning.
But Jepsen also struggled with his control a bit, walking A.J. Ellis and throwing two wild pitches during the frame.
But overall, Scioscia liked what he saw from the two relievers, whose fastballs are regularly clocked in the high-90s on the radar gun.
"If anything, it was just good to see them out on the mound," Scioscia said. "Hopefully, they can piggyback on what Scot Shields did the other day. It will be a good day for those guys to come out of the workouts tomorrow. We'll keep moving forward."
Also on Monday, the Angels reassigned 17 players to Minor League camp, including top pitching prospects Trevor Reckling and Trevor Bell.
Fellow pitchers Tyler Chatwood, Michael Kohn, Kevin Nabors, Will Smith and Andrew Taylor also were reassigned.
Infielders Alexi Amarista, Ryan Mount, Efren Navarro, Abel Nieves, Nate Sutton, outfielders Brad Coon and Jeremy Moore, as well as catchers Anel De Los Santos, Alberto Rosario and Brian Walker were reassigned as well.
The Angels now have 49 players in Major League camp.
Rhett Bollinger is a reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.