The Kiev is an old 1980s vintage hybrid heli and Yak carrier, converted from a cruiser. It’s no where as sophisticated or capable as the Varyag refit currently in sea trials.
It's interesting because both countries are on the same path in their own naval arms race. China refits the Varyag while building two of its own indigenous carriers. At the same time, India refits the Gorshkov while building two if its own indigenous carries.
The Gorshkov refit will be called the INS Virkamaditya and it will be launched for trials within the next 6-8 weeks.
Artist rendering of the finished Indian carrier: