This an interesting one. The question was for "guaranteed" differences between
Cichlasoma bimaculatum and
Cichlasoma dimerus. Anal spine number is a good one; being a member of a clade is less easy to see.
But I wonder why the choice is/was between these two species. After all you bought them as
Cryptoheros myrnae. In the genus
Cichlasoma there are another ten candidates for your fish. And maybe even a few in
Aequidens too. Any pictures?