First off, I know that IFA and Ocha are practiced differently in Cuba. From my understanding IFA is a male sect that are priest of Orunmila and Ocha are priest of other orishas that don't read with IFA and palm nuts but with cowrie shells.
Secondly, I said that was to make the long story short but let me break it down even further. You see when Lucumi first came to Cuba by way of slavery there were not a lot of babalawo's who came here, this led to the Ocha side being invented and oriates doing things to keep the tradition going but by the 1900s IFA became more prominent, women like Moncerrate Gonzalez as an example who were very important and once held roles as oriates and leaders in the religion prior to this time are a very big part of Lucumi's history and preserving it. Once the 1900s hit you seen more women begin to take up traditional gender roles like cooking and cleaning and the babalwo's were seen culturally as having more power to the point where women aimed at trying to become an apetbi(basically a wife of the babalwo who preforms certain duties though you know there is more to it then that). They wanted to marry the babalawos and even certain female oriates lost their position in order to marry a babalawo due to it having a higher status culturally which is how they lost their power over time in the religion. Reason being they had to give up the oriate status if they marry a babalawo. To this day there are very little female oriates which was not always the case and people in the religion perpetuate lies such as that women can not be oriates, some say this is because they menstruate which is a cultural ideal that isn't true but women don't challenge this so there is marginalization in that sense if you ask me whether it's all on purpose or the result of a cultural shift is something I will have to look into more, but it's clear there are more leaders that are males(oriates) making things one-sided.
People who are not part of the religion believe that the babalwos are the highest priest of the religion and leaders when it's not true, the Oriates who lead ocha houses are important high priest to their houses and leaders too. You also have initiated babalwos who make the argument to find someone's true Ori only IFA can be used since it's from orunmila and not Ocha and the shells, these are arguments I've seen with my own eyes, these Ocha vs IFA arguments.
Furthermore, I've see in the Nigerian tradition people question the Iyanifa title which is a female priest/babalawo that some say is a new invention, others argue against this.
Third you meant Nigeria and not Niger
Pow...pow..
Lastly let me make something clear again,
What I post is not authoritarian, I am not, I am not! an initiate of lucumi or IFA yet. I might have to put that in all my post but I said it before and will repeat it if need be. I don't fish for information because that is not my style and if I don't know something I will ask questions. Everything I post is what I learned from others who have been initiated for many years in these traditions or from books I read by well respected scholars like John Mason. You as an initiate can teach me a lot and I'm open to learning so you don't have to play 21 questions with me. If you see something I said that is false then correct me and I say that respectfully.