'adequately acknowledge' is correct and usable in written English.
You can use it when you want to express that something was done in an appropriate way or to an appropriate degree. For example, "The company adequately acknowledged the employee's long service with a generous bonus."
The law does not adequately acknowledge how the relationship of Aboriginal and Torres Strait Islander people to their land and waters can and do adapt to changing circumstances.
He was totally devoted to our company and it is impossible to adequately acknowledge his many contributions to Sotheby's and to our employees.
Nor does Brzezinski adequately acknowledge that the source of the current mess in the Middle East antedates the past three presidencies.
At the same time, executives at the Big Board's parent have complained that Nasdaq initially did not adequately acknowledge responsibility for the problem last week.
One of the problems with journalists and humanitarian organizations is that we're sometimes so focused on problems that we don't adequately acknowledge the progress that is being made.
Stephen L. Carter, in his laudable call for a renewed effort to address race and poverty, does not adequately acknowledge the important role that affirmative action has played in unraveling the two.
"Human loss and suffering have not been adequately acknowledged.
"The Bank of England has not adequately acknowledged the potential disruption and costs to the cash supply industry and retail sectors," Doyle said.
General Van Riper said he complained at the time that important lessons of his simulated victory were not adequately acknowledged across the military.
The UN's reluctance to acknowledge its share of responsibility is compounded by the failures of domestic and regional transitional justice, which means the nature of the crime of Srebrenica is still not adequately acknowledged.
He thought that the diversity of the protest crowd had not been adequately acknowledged — Barber said that he had seen blacks and whites among the group smashing windows, and in the larger group of peaceful protesters.
