Well, it means what it says. The service is subject to jetBlue receiving authority from the (relevant) govenrments.
JetBlue has receieved authority from the DOT - the US govenrment:
So that only leaves one other - the government of Aruba.
Quite often, the "other country" government will wait until the airline's "home government" has approved the application before they take action.
I would expect it to be a formality.