The phrase "are increasingly adapting" is correct and usable in written English.
It can be used to describe a gradual change or adjustment that is happening more frequently over time.
Example: "Companies are increasingly adapting their business models to meet the demands of a changing market."
Alternatives: "are progressively adjusting" or "are steadily modifying".
They are increasingly adapting their collections and services based on the demands of library patrons, whom they now call customers.
Child welfare managers and administrators are increasingly adapting managed care principles and performance-based evaluation to foster achievement of positive outcomes for children and families, identify programs that work, target get those that don't work for technical assistance and/or sanction, and link payment to performance.
As intensive users of technology, companies are increasingly adapting to meet the needs of this clientele.
While the high TV ratings across all sports are great, team owners are increasingly adapting to, and investing heavily in, creating the best possible game-day environments, so their in-stadium product continues to be as good or better than what Samsung, Sharp and Vizio provide in the living room.
Roman bars and cafes are increasingly adapting their menus to cater to Italians like Pinca.
White-winged doves currently nest in trees and shrubs, and evidence exists to suggest that they are increasingly adapted to urban and suburban areas.
And popular culture is increasingly adapting itself to the fact that more and more people are pornography consumers.
In a previous post, I noted that WikiLeaks was increasingly adapting to the standards of conventional journalism in its editorial policy.
Accordingly, certain groups of dinosaurs, such as the ornithopods, included a succession of types that were increasingly adapted for efficient food processing.
High throughput technology has been increasingly adapted for drug screen and bioprocess development, due to the small amount of processing materials and reagents required and parallel experiment execution.
After 1970, when the global south (i.e., developing countries, typically of the Southern Hemisphere) acquired a voting majority in the UN General Assembly and on the governing boards of the specialized agencies, their mandates were increasingly adapted to developmental priorities.
