Fix the entire ceiling. Or don’t look up.

Exactly . Or get another piece of trim scribed to the ceiling .

You always need a two piece crown molding to reach the ceiling. And your cabinetry needs to be at least 4" short of the ceiling to look right with a two piece crown molding reaching the ceiling. UNLESS you level the ceiling. This is a common mistake made by less experienced designers or homeowners that didn't work with a designer.

If you did work with a professional kitchen designer then the company should pay for the second piece of molding to reach the ceiling and any new crown molding you now need. Unless they ordered the second piece of molding and the contractor didn't use it. Or you refused to pay for it when they recommended it.

It will look better but still off as shorter cabinetry or leveling the ceiling were really required here.

I agree with what Kristin Petro Interiors, Inc. said. And yes, the adjustment for the uneven ceiling would have been made on the flat stock, and not as noticeable. You'd still have a gap, but it'd be smaller.

If you are able to have the crown removed, and have a stock piece added just beneath, the area between the crown and ceiling will still need to be caulked. This is done by adding backer rod in the correct size (backer rod is a round tube of squishy foam which is pressed into the gap to act as both a filler and something for the caulk to adhere to). Then caulked at the ceiling, then painted to match the cabinets. Most ceilings are a bit off (unlike yours, which apparently is very uneven), so 'stock and caulk' are often a necessity.

I'm not sure if you can use backer rod and caulk to correct such a large gap if the stock piece is not added (for whatever reasons). Were it me, I'd try, because the uneven gap does not look attractive. But you'd have to do a very, very neat job to tie it into the existing crown. It's doable, I've done it - though our gaps were far smaller, but it requires a good hand and patience.

Every ceiling is uneven, every one of them. A contractor who knows what he is doing adjusts the crown as described above. You don't need to fix the entire ceiling as the "Pros" said above, that is nuts.

The LS above the fridge is the only portion that is too low. It look otherwise that you would have a somewhat even gap all around.

Too big to backer rod and caulk. Its a easy fix. Rip a 1x piece of stock to the size of the gap and slide in place between crown and ceiling. Caul whatever small gaps and your done. I would paint ceiling color or have HD color match a QT for you. People like to make big deals out of nothing. Every ceiling is out of plane and almost impossible to get every measurement dead on in real life. An experienced installer would have fixed that for $50 and never left you with that issue.