The phrase "acknowledged only with" is correct and usable in written English.
It can be used when indicating that something is recognized or accepted solely in a specific manner or context.
Example: "His contributions to the project were acknowledged only with a brief mention in the report."
Alternatives: "recognized solely by" or "accepted merely with".
National drug information clearinghouses and law enforcement officials acknowledged only a passing familiarity with Salvia divinorum.
But the diplomatic brouhaha that has engulfed the Haudenosaunee (a k a Iroquois) lacrosse team, derailing their travel plans to Europe to play the sport they invented, is a harsh reminder to native nations that their inherent sovereignty will be acknowledged only when it comports with the forms and protocols of states.
And he felt alienated from people who acknowledged only those wounded soldiers with visible, physical injuries.
In a statement, the State Department acknowledged only having been in touch with Mr. Chang's New Jersey company, the Bright & Bright Corporation, about the problem, and having "raised the general issue of full payment of debts owed to American entities and persons" with North Korea.
Some network officials, meanwhile, acknowledged only a limited understanding of their analysts' interactions with the administration.
Cashman acknowledged only that an offer was presented, but a baseball official with knowledge of the discussions confirmed the terms.
In its statement Standard Chartered acknowledged only 488 illegal transactions, worth $24m (it also admitted $97m in illicit transactions with Sudan, and $12m with Libya).
Email correspondents wanted to be able to use the OWTS email address as a method to engage with the OWTS about their questions and concerns, but their emails were either not acknowledged or acknowledged only generically.
Eurocode 2 (2004) acknowledges only contribution of stirrups on evaluating shear strength of reinforced concrete beams with stirrups, based on variable angle truss model.
