Franco is facing a potential suspension for an off-field incident. He has been placed on administrative leave and he will miss an undetermined length of time.
Springs has been moved to the 60-day injured list after undergoing Tommy John surgery on his left elbow, and he is projected to be available in the early part of August.
Rasmussen has been designated for the 60-day injured list after having right elbow surgery, and he is not expected to make his season debut until the middle of August.
Mayer has been absent from the lineup during the last five games due to minor left lower-leg soreness, and it is unclear if he will play against the Yankees on Sunday.
Murphy is on the 60-day injured list while recovering from surgery to repair a UCL tear in his left elbow, and he is likely to miss the entire 2024 season.