The Kree certainly have access to the translator technology and so at least Starforce would use them. We see this when Vers lands on Earth and talks to the security guard.
Vers: Hi, I'm Vers. Kree Starforce. Is this C-53? Do you understand me? Is my universal translator working?
You've got to remember that a lot of the galaxy, at least what we see, are space faring and high tech, far more advanced than Earth and humans. Because most are space faring it would make sense for them to have and use universal translators as we see in the two known instances: Carol and Peter.
It would be a necessity when visiting another planet/species to use a translator so you can communicate with them. That doesn't mean people who stay on their own planet are using one i.e. those on Earth. But as we see from the above quote from Vers, the translator works both ways and so it wouldn't be needed for both parties to use one.