"consists of both" is a valid phrase that can be used in written English.
You can use it to introduce two elements that form a whole. For example: "This dish consists of both chicken and vegetables."
This internal network consists of both emotional and physical support.
This examination consists of both oral and written parts.
This project consists of both software and hardware designs.
This series consists of both professional and personal correspondence.
It consists of both educational preparation and emotional readiness to work.
It consists of both full- and fractional-ownership properties in several neighborhoods.
The cost function consists of both aerodynamic and structural terms.
The HKS Communications Program consists of both for-credit and not-for-credit offerings.
The correspondence consists of both incoming letters and copies of Bendixen's responses.
At Southampton College, the Avram Family Gallery consists of both the theater foyer and a separate, secure exhibition space.
Often encountered in clubs or at music festivals whose audience consists of both passionate fans and obnoxious hipsters.
