Is there an antibiotic that will work to get rid of both enterococcus faecalis and mycoplasma hominis at the same time?

Dual Organisms: Yes, there are several. In your case, you had a reported culture and sensitivity (c&s) lab study that specifically tested the bacteria that have affected you with a panel of antibiotics. Since there is increasing antibiotic resistance emerging with many strains, only your individual c&s should be interpreted for you, not generalized to all patients.

Yes: The only antibiotic that has activity against both enterococcus sp. And mycolasma hominis is tigecycline a tetracycline class antibiotic that is quite expensive and only given intravenously. You'd probably be better off using ampicillin/amoxicillin (if enterococcus sensitive) and Azithromycin or a tetracycline for the mycoplasma.