Both destinations are served by Goa (GOI). Since there's no flight route between them, the best way to travel is by road.
Vasco da Gama
Fly to Goa (GOI), then travel by road to Vasco da Gama. Taxis, buses, and private cabs are available from the airport.
North Goa
Fly to Dabolim Airport (GOI), then travel by road to North Goa. Local transport options include taxis, auto-rickshaws, and state buses.