McLain has been sent to the 60-day injured list while recovering from surgery to address cartilage damage and repair the labrum in his left shoulder, and he will be out of commission for the remainder of the season.
Lodolo has been assigned to the 15-day injured list due to a left middle finger sprain, and team officials have not yet confirmed an exact return date.
Encarnacion-Strand has been transferred to 60-day injury list due to ligament damage in his right hand, and he is projected to miss the remainder of the season.
Uceta is facing a suspension due to intentionally hitting Nick Castellanos with a pitch, and it is unclear if he will suit up for Tuesday's clash versus the Red Sox.
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.