Three basic options to get both lit & unlit colors close.
1) Color/ white/ color if you have white capability, do rich black on both color layers to make it opaque as possible. The white ink layer keeps the top color correct, when lit the light passes through both color layers so it's less washed out. Most economical for good results, but if you don't have the white ink option it's mute.
2) Printed translucent on face, reverse printed clear on the back side of the face. Like the color/ white/ color print option this gives double ink coverage when lit, single when not lit, the white
sign face in between separates them. Good option if you can't print white, but more printing/ materials/ laying, and both sides need to align or they'll look blurry. The most costly option, just bid it right.
3) For just solid colors you can go the cut vinyl route. Lay opaque black with letters cut out wherever you have verbiage or other elements you want to show when lit, then lay translucent vinyl cut with 1/16" or so overlap. For simple designs, this is still my go-to, translucent colored vinyl is made just for this, colors hold up lit or not. This will give the best colors unlit & lit, plus the best block-out with the black. Close labor-wise, and way cheaper material-wise than number 2.
I do the cut vinyl route whenever I can JUST because the colors will be the most accurate, and that makes customers happy.
