What are two types of monerans?

Bacteria and cyanobacteria are the two types of monerans. :)

Eggs and sperm

The two types of guards are the point guard and the shooting guard, and the two different types of forwards are small forwards and power forwards.

Two types. By saying there are two 'types' you are already stating that there are 2 differentthings and so the word 'different' isn't necessary.

Physical and cultural anthropology