The phrase 'consolidate responsibility' is correct and usable in written English.
You can use it to refer to the act of combining several related tasks into one person's responsibility. For example, "The department has decided to consolidate responsibility for finance and accounting into the CEO's role."
By consolidating responsibility for covert operations, Smith made the CIA the arm of government primarily responsible for them.
The new structure consolidates responsibility around two senior executives, Hilary Schneider and Ash Patel.
Linda Yaccarino, president for cable entertainment and digital advertising sales at NBC Universal New York, part of Comcast, was named president for advertising sales, assuming sales duties for broadcast units like the NBC network as NBCUniversal consolidates responsibility for all ad sales with her.
Another, more integrative response is consolidating national responsibility for ECCE into a single ministry.
The creation of the Department of Homeland Security should consolidate some of the overlapping responsibilities.
In January, he announced plans to strip the Health Department of its antifraud enforcement responsibilities and to consolidate those powers in a separate Medicaid inspector general's office.
"It needs to be able to consolidate and simplify its administrative responsibilities so that it can be freed up to convert the energy and passion that young people arrive with into long-term engagement.
Historian Peter Longerich observes that Himmler's ability to consolidate his ever-increasing powers and responsibilities into a coherent system under the auspices of the SS led him to become one of the most powerful men in the Third Reich.
In the F1 year in particular, trainees begin to take supervised responsibility for patients and to consolidate skills learned at medical school.
This allows them to consolidate power, but without being saddled with ultimate responsibility.
