(sigh) damn. You're right, I was looking at it too quickly, and thus looking at it wrong (another argument for posting the picture in the thread, so it can be in the same tab as my response
Typically when instructors give 'describe the relationship' questions, the ones that are meso are are meso to each other, that is the two are typically the same compound.
This question is a rare case where a compound has two different meso isomers. As shown in the image, M and its mirror image are the same compound. The mirror image of M issuperimposable on M. Same with N, the mirror image of N is superimposable on N. M and N are not mirror images of each other (which I assumed they were at first glance).
Because M and N are not mirror images, they are diastereomers. But because the mirror images of M by itself and N by itself ARE superimposable on themselves, M by itself is meso and N by itself is meso.
Sorry for confusing everyone. Man, I hate being wrong... but I feel even more like an idiot after going around telling everyone how wrong they were. My apologies.
The book/software is correct. The descriptors are meso, achiral, and (in this rare case) diastereomers.