I meant more along the lines of:
Born Gods: Gods who are born into the race of Gods, Nyx, Gaia, Ra, Aset, Enki, Tiamat, so forth. They don’t rely on the power of worship and so forth as they have simply practiced for ages grew and developed but they were always Gods.
Titled Gods: beings like humans, demons, angels, and so forth who reach a point in their power that they gained followers and someone(s) somewhere started to see them as Gods so they became deified, or one of the aforementioned races, man included, reaches out to a pantheon and that pantheon accepts them as one of their own and grants them Godhood through rebirth, in examples of Zeus to Psyche, the Egyptian Demon Ammut becoming a Goddess, so did Set’s Tesheru who were his demons who he granted Godhood to and they became minor Gods.
So basically unless the race is worshipped as Gods or adopted and rebirthed by a pantheon they aren’t Gods, and their children aren’t Gods until that is done. In which case they still teach their creations to do such, Difference between the two to me is the rebirth into a God allows one to create races under them, while the titled ones you gain followers of races that devote themselves to you, but you cannot create races unless you fragment your own soul into “smaller” forms that become their own beings thus you created, where as born Gods or rebirthed Gods do not need to do such.