The phrase "acknowledged them with" is correct and usable in written English.
It can be used when referring to recognizing or responding to someone or something in a specific manner.
Example: "During the meeting, she acknowledged them with a nod and a smile, showing her appreciation for their contributions."
Alternatives: "recognized them with" or "responded to them with".
He acknowledged them with a wave from the dugout.
Lee acknowledged them with a raised hand and a bowed head.
The Chelsea fans immediately stood to give Mourinho a standing ovation, to which he acknowledged them with a wave.
"We love you!" Patricia Amorim, the president of Flamengo, Brazil's most popular sports club, blushed and acknowledged them with a small wave.
When Piniella made the first of three trips to the mound in the seventh, fans behind the dugout gave him a standing ovation as he came off the field and he acknowledged them with a little wave of his hand.
They simply passed by someone who acknowledged them politely, acknowledged them with a smile or stared straight through them as if they weren't even there.
Gervinho opened up Udinese for Van Persie's equaliser and by the end of the match the small knot of Arsenal fans in the corner of the stadium were singing to Wenger to acknowledge them with a wave.
Interestingly, an expressive visual language also suits the Globe space well: the audience is not only close to the stage but a part of the action, with the actors acknowledging them with a nod, a wink or a table-turning heckle, and often executing their exits and entrances by boisterously making their way through the crowded yard as though it's a Monday morning rush hour.
Self-compassionate people are more likely to take responsibility for their past mistakes, while acknowledging them with greater emotional equanimity.
And then, for some reason, maybe because I annoy them by not acknowledging them with eye contact, they both step closer to me.
Royce saw a couple of these kids after an ISU victory in Ames and went out of his way to acknowledge them with high-fives and some YMCA love.
