The oddly shaped red shaded area around the airport is a class E airspace floor pushed down to 700AGL. This does not appear in IFR enroute charts, and it would also not be plotted by a GPS/moving map.
The circular dashed blue line around the airport is the class D controlled airspace which exists when the tower is open. When the tower closes for the night, this becomes class G airspace from the ground to 700AGL and then E above.
The class D ring as charted would appear on a GPS moving map, regardless of the operating hours. And I believe this is exactly what you are seeing on LNM: You see the class D from the ground to 8700MSL. LNM doesn’t care that it’s not active 24/7.
In Europe this would be a (HX) airspace (not always active) and charted as such. On the American sectional chart you have to infer that information from the tower frequency having an asterisk after it: that tells you the tower is not 24/7.