Frankfort Transit (502) 875-8565 provides bus service within the city limits of Frankfort.  For public transportation from Frankfort to points outside of the city the Bluegrass Community Action Bus (502) 695-4290 provides that service.  Neither of these public transportation companies have websites, but you can call for schedule are fare information.    

City of Frankfort Transit web page is  City of Frankfort Transit

Bluegrass Community Action Partnership BUS web page is Bluegrass Ultra-Transit Service