"encompasses not only" is correct and usable in written English.
You can use it to indicate that something is much broader or larger in scope than initially suggested. For example, "This report encompasses not only a review of current literature, but also interviews with stakeholders and a survey of public opinion."
It encompasses not only outright denial that God exists, but a whole spectrum of self-assertion.
The Steelers family encompasses not only the current team but past players as well.
I find it fascinating that Maria's brief encompasses not only our Creative Industries but Women and Equalities.
This is backed up by a fully realised pop-cultural landscape that encompasses not only television but music, books, comics..
As a framework, CASH encompasses not only soil health testing, but also outlines field-specific planning strategies and management approaches.
That new generation encompasses not only the young designer, but the young, moneyed consumer buying these clothes.
The Anglican Communion encompasses not only the established Church of England but also various national Anglican churches throughout the world.
It is observed that modern metrology tends to focus more on uncertainty than accuracy, because uncertainty encompasses not only accuracy but also precision.
Antisocial behavior is a broad construct that encompasses not only delinquency and crime, but also disruptive behavior of children, such as aggression, below the age of criminal responsibility.
The district encompasses not only Buchanan but also parts of the town of Cortlandt, the city of Peekskill and the village of Croton-on-Hudson Croton-on-Hudson Croton-on-Hudson
The work encompasses not only his original jacket designs, but also hand-painted color separations and some of the plates used for the first printings.
