The phrase "acknowledges that with" is correct and usable in written English.
It can be used when discussing recognition or acceptance of a particular situation or condition in relation to something else.
Example: "The report acknowledges that with the new policy, there will be challenges in implementation."
Alternatives: "recognizes that alongside" or "accepts that in conjunction with".
Karplus readily acknowledges that with any energy and economic modeling of this scale, many uncertainties remain.
He acknowledges that with almost three months of training build-up, there is a danger of losing the killer edge.
Mr. Benjamin's piece acknowledges that with fast travel, time zones and daylight saving plans, not to mention Einstein and relativity, things temporal have grown more complicated.
But even he acknowledges that with the phone and the Internet, people do not need to be in the room for an auction, so it is the rare event that brings a big audience.
Still, Reynolds acknowledges that with gardening — particularly the kind of persnickety ornamental gardens he's so passionate about — he happens to have stumbled into a realm of guerrilla restoration that is almost perfectly unthreatening to everyone.
So I'm intrigued by the idea of a family driving agreement, by which an older person who may now be a perfectly fine driver acknowledges that with age-related changes, "there may come a day when the advantages of my continuing to drive are outweighed by the safety risk I pose not only to myself, but also to other motorists".
Tablet interfaces have different needs, and it looks like Apple is acknowledging that with a few ways of replacing UI elements and detecting touch activity.
Secondly, we must acknowledge that with rights come responsibilities.
And he'd readily acknowledge that with tremendous good humour.
"It's a difficult thing to talk about," so acknowledge that with your parents.
Police officials acknowledged that with so many people, it was difficult to predict traffic flow.
