Hi, You can reach Aurangabad from Ahmedabad. From Aurangabad, it's a quick weekend trip to explore the Ellora Caves. For transportation, MSRTC Red Buses are available at regular intervals from Central Bus Stand to the important tourist destinations from Aurangabad like Ajanta, Ellora, Daulatabad, etc. The frequency is good, safe and fairly comfortable though not very luxurious. Auto rickshaw drivers may ask for exorbitant rates from the tourists. Make sure to ask before boarding, if the charges are based on the meter reading. In general, public transport in and around the city is fairly good.
Read more about a trip to Ellora Caves here: https://www.tripoto.com/maharashtra/trips/weekend-trip-to-aurangabad-and-ajanta-ellora-caves-597abe4e38cf4