My latest "neutral grey" sunglasses are surprisingly blue-green; not neutral in the least, and they have a tendency to "enhance" the blues and greens in a scene a bit. I still have an older pair of prescription sunglasses with Zeiss lenses, and they are very neutral. The latest are Hoya...
At any rate, what you are likely experiencing is a slight color filtration (which seems to be "warming" in your case, since the blues and greens are darkened), which you could approximate on color film with the right filter(s). Since film doesn't have the same spectral response as your eye, you may have to play around a bit to get your desired result, but it should be doable. Examine your glasses more carefully (maybe comparing to a real neutral density filter) and see if you can see some color. If so, use filters of that color to try to achieve your goal. If not, use your knowledge of color theory to choose filters to enhance certain parts of the spectrum (by removing other parts, of course) and experiment.
There are lots of "enhancing" filters available (mostly warming ones) as well as CC filters, etc.
And, as mentioned, underexposing a bit, or printing darker, may help too.
Have fun,
Doremus