"widely acknowledge" is a correct and usable phrase in written English.
It is typically used when making a statement about something that is generally accepted or agreed upon by most people. For example, "The benefits of yoga are widely acknowledge."
Spencer Ackerman has one suggestion: Those four reporters comprise much of the institutional knowledge of Guantánamo Bay and the military commissions, as their colleagues widely acknowledge.
In fact, patients, doctors and officials across the health care system widely acknowledge that patients suffering from every imaginable complaint regularly pay for some parts of their treatment while receiving the rest free.
China's leaders widely acknowledge that unless they overhaul policies, the national economy will not be able to maintain the growth needed to satisfy citizens' expectations of better jobs, incomes and opportunities.
While today's operating systems — the basic layer of software that runs a computer — can work with this type of hardware, software engineers widely acknowledge that most applications, ranging from corporate productivity software to multimedia programs, are not designed for efficient use of the dozens or hundreds of processors in future computers.
Tributes to the "godfather of alternative comedy", as Eddie Izzard describes him in the Independent, widely acknowledge him to have been the driving force behind the Goon Show, the absurdly brilliant 1950s radio show that paved the way for Monty Python.
Indeed, while Liberians widely acknowledge that peace and security have improved markedly during her tenure, Mrs. Johnson Sirleaf's success in securing forgiveness for billions of dollars worth of Liberian debt and the change she has effected in the nation's once brutal international image are often less appreciated in Monrovia than among outsiders.
