The phrase "agency engaged" is correct and usable in written English.
It can be used in contexts where you are referring to an agency that is actively involved in a particular task or project.
Example: "The agency engaged in the project demonstrated exceptional expertise and commitment to delivering results."
Alternatives: "agency involved" or "agency participating".
House Republicans are vigorously denouncing the Environmental Protection Agency as a rogue agency engaged in a borderline-illegal effort to regulate greenhouse gases.
But the announcement added weight to a long-held suspicion among the political opposition that the intelligence agency engaged in illegal campaigning for Ms. Park.
The humanities endowment is the principal federal agency engaged in intellectual scholarship, providing grants in history, philosophy and related disciplines, and some previous chairmen have been sharply ideological.
"The department's going after less than half of a fraction of the larger amount of improper billing that the Pennsylvania lending agency engaged in," Mr. Dannenberg said.
The agency engaged in microfinance with poor villages, and Schoendorf performed a variety of tasks, including clerical work, writing reports, and cleaning up the computer database.
GCHQ has form at the G20: the agency engaged in phone tapping and data collection at the 2009 summit in London.
I experience the same, both as an individual as well as probably the only global agency engaging with Muslim audiences.
In this case study, we see an example of how children in an online social community, through their own agency, engage with a significant and tragic event in the wider world.
The online footprint also reflects interactions among agencies engaged in different functions.
It is not an unrealistic deadline, even for agencies engaged in something Mr. Tomson diplomatically labels "thoughtful debates".
In this purposive transitional process, under the coordination of a central authority, multiple 'regime actors' (government agencies) engaged in bargaining, negotiation and consensus building that determined the developmental directions and outcome of TD-SCDMA.
