To be fair, those injuries aint that bad.
Only 3 of them are long term: Nadir Ciftci (3 months), Rodger (2-3 months) and Gary Mackay-Stevens (4 months)
Leigh Griffiths is a medium-term injury while Charlie Mulgrew and Simunovic will be back in a week (max two).
Check where they go their injuries (player/history/injures/received) and if it's in match, keep an eye on their condition; if it's in training, check your Assistant's training schedules. I'd advise against delegating that responsibility at all. I need to know exactly what my players are doing in training. I also make sure they've at least 2 days off a week to rest and recover.