Last September was the inauguration of General Mariano Matamoros Airport (CVJ) or the Cuernavaca "International" Airport after extensive remodeling and expansion. It claims to be an International Airport and looks the part but I have yet to find any scheduled International flights. The official airport website lists only Volaris and VivaAerobus as scheduled airlines and neither flies out of the country from there.
As you may know, airports in Mexico are government owned and Cuernavaca is managed by a group centered in Mexico City. There is some criticism that the airport was over built and a waste of money with their future plans of servicing a million and a half people a year. However it does seem like a nice way to avoid Mexico City if flights available fit your plans.
Not a busy airport
Cuernavaca airport map