My doctor prescribed for me Tobradex (tobramycin and dexamethasone) ointment and Augé eye drops because my eyes are always tired and look sleepy will this help with my condition?

No. They will not help you, in fact the side effects may actually be worse. I would stop the Tobradex (tobramycin and dexamethasone). The Auge' will not help your sleepy/tired eyes. Sorry .
Was s/he your. Ophthalmologist? if so follow the instructions carefully, and don't exceed/ repeat treatment on your own, and keep a follow up appointment. If s/he wasn't your Ophthalmologist, please see one for consultation, your condition can be one of several diagnoses, requiring an expert input, good luck.