The phrase "means acknowledging" is correct and usable in written English.
You can use this phrase to indicate that a certain consequence or event is the result of something else. For example, "Working hard means acknowledging that success will take time."
And that means acknowledging the inconvenient truths as well.
This means acknowledging that working-class concerns are not what they were in the 1980s.
"Empathy means acknowledging a horizon of context that extends perpetually beyond what you can see".
Approving funding to prevent hurricane damage means acknowledging that there is a continuing danger from hurricanes and that it is getting worse, and that means acknowledging that the funding is not just part of some liberal global-warming conspiracy.
Ultimately this means acknowledging our own failure to protect vulnerable children, and taking responsibility for the suffering they have experienced.
And historical awareness, T. S. Eliot said, means acknowledging the pastness of the past as well as its presence.
Avoiding this means acknowledging moderate forms of radical ideas.Such reasoning suggests that the political momentum behind some form of private accounts is likely to grow.
True flexibility means acknowledging that tax rates for the rich have to go up, and then negotiating how much and which ones.
Free-floating anxiety is characteristic of dementia, and honoring the personhood of residents, as Thomas Kitwood recommended, also means acknowledging their distress.
To concede that climate sceptics raise fair criticisms means acknowledging that scientists and government agencies have got things wrong, or at least could do better.
Sending more troops will cause further pain to an already strained military and it means acknowledging that units now being rotated home could be sent back to Iraq.
