The phrase "acknowledges the presence of" is correct and usable in written English.
It can be used when discussing recognition or awareness of something or someone in a particular context.
Example: "The report acknowledges the presence of various factors that contribute to climate change."
Alternatives: "recognizes the existence of" or "notes the presence of".
There is nothing on the nutrition label of Oreos, or any other packaged food, that acknowledges the presence of trans fats.
In Vaduz, the capital, population 5,000, everyone knows everyone else, and Heinz Frommelt, the justice minister, acknowledges the presence of "black sheep -- a whole list of people whose names keep coming up" whenever foreign countries ask Liechtenstein's help in criminal investigations.
Again, Papamichael says that he and Payne didn't look at particular references, but acknowledges the presence of peripatetic US photographers such as Robert Frank ("always an influence for his compositions and his shadows") and William Eggleston, who was once advised, "photograph the ugly stuff" and went on to map a nation of gas stations and shopping malls.
French never gets much beyond the glib assertion in his preface that the new, cool India is the "world's default setting for the future": and though he acknowledges the presence of a few malcontents, he celebrates the prosperous, multicultural, tech-savvy Indian as the 21st-century's Everyman.
Just as the Republican House leadership moved farther to the right as it accommodated its Tea Party freshmen, Netanyahu will have to form a cabinet that acknowledges the presence of an increasing number of radical right-wingers in his and other parties, including Bennett's.
Despite a haphazard introduction, complete with boos and jeers from the crowd when the announcer acknowledges the presence of the prison director and chief justice of the criminal court, this performance was another in a line of great prison performances by blues legends.
