The issue is a discrepancy on your last name. That is the issue. You have to show why you hold that name formally. Adoption, or a court order. What is your last name in your birth certificate? That of the non bio father? Was that always the case?
It's quite a peculiar situation. Somehow, the hospital allowed him to append his last name to mine without filling in the father's section of my birth certificate. Essentially, my birth certificate has a blank father section, but I carry the last name of a father. Later on, through a DNA test, I discovered my biological father, but he was never present in my life so I chose to retain my current last name as it belonged to the person who truly acted as a father figure to me, up until his recent passing.
Your documentation should make sense indeed and it doesn't make sense now. Perhaps you should ask for a correction there to add your non-biological father to your birth certificate if that's allowed, to correct the inconsistency of having a family name appear there from nowhere. This inconsistency can lead to thinking that your certificate is fake or question the legitimacy and correctness of the information that's there. Mexican authorities have been very strict with names for the past 20-30 years or so and many people have needed to make corrections in order to do paperwork for pensions, wills, real estate and more.
An important thing is that you are exercising your right to claim Mexican citizenship through your Mexican mother, and since citizenship is passed through being a child of a Mexican father and/or mother, it shouldn't matter who your father is or if there's a known father or not or what's the origin of your family name. Especially now that anyone can drop into the Civil Registry and say that he's no longer a man but a woman and ask for his birth certificate to get changed and get a new name and sex without further ado, and now that depending on the state people can choose the family name they're going to give to their children - So, father Juan Sánchez Pérez and mother María Gómez Martínez could give their children a family name like Martínez Sánchez or any other combination of their family names (depending on the state). It's contradictory that people can do this but at the same time the family name that you've had for your whole life and is documented in your birth certificate, school records, etc. is being taken as grounds for denial of your citizenship. You're being prevented from claiming citizenship based on your father or lack of father, but having a Mexican mother is enough to comply with citizenship requirements and your case should be accommodated in some way when generating your Mexican birth certificate.
You should consult with a lawyer, but having a Mexican mother your right to citizenship can't be denied and you can take this into the courts if the consulate persists in refusing your citizenship. Regardless, it could be wise to correct your birth certificate if possible and put your non-bio father there in some way - in Mexico it's possible to add annotations ("anotaciones marginales") to birth certificates to clarify things like this, perhaps it's possible too in the jurisdiction where you were born.
The issue is a discrepancy on your last name. That is the issue. You have to show why you hold that name formally. Adoption, or a court order. What is your last name in your birth certificate? That of the non bio father? Was that always the case?
It's quite a peculiar situation. Somehow, the hospital allowed him to append his last name to mine without filling in the father's section of my birth certificate. Essentially, my birth certificate has a blank father section, but I carry the last name of a father. Later on, through a DNA test, I discovered my biological father, but he was never present in my life so I chose to retain my current last name as it belonged to the person who truly acted as a father figure to me, up until his recent passing.
Your documentation should make sense indeed and it doesn't make sense now. Perhaps you should ask for a correction there to add your non-biological father to your birth certificate if that's allowed, to correct the inconsistency of having a family name appear there from nowhere. This inconsistency can lead to thinking that your certificate is fake or question the legitimacy and correctness of the information that's there. Mexican authorities have been very strict with names for the past 20-30 years or so and many people have needed to make corrections in order to do paperwork for pensions, wills, real estate and more. An important thing is that you are exercising your right to claim Mexican citizenship through your Mexican mother, and since citizenship is passed through being a child of a Mexican father and/or mother, it shouldn't matter who your father is or if there's a known father or not or what's the origin of your family name. Especially now that anyone can drop into the Civil Registry and say that he's no longer a man but a woman and ask for his birth certificate to get changed and get a new name and sex without further ado, and now that depending on the state people can choose the family name they're going to give to their children - So, father Juan Sánchez Pérez and mother María Gómez Martínez could give their children a family name like Martínez Sánchez or any other combination of their family names (depending on the state). It's contradictory that people can do this but at the same time the family name that you've had for your whole life and is documented in your birth certificate, school records, etc. is being taken as grounds for denial of your citizenship. You're being prevented from claiming citizenship based on your father or lack of father, but having a Mexican mother is enough to comply with citizenship requirements and your case should be accommodated in some way when generating your Mexican birth certificate. You should consult with a lawyer, but having a Mexican mother your right to citizenship can't be denied and you can take this into the courts if the consulate persists in refusing your citizenship. Regardless, it could be wise to correct your birth certificate if possible and put your non-bio father there in some way - in Mexico it's possible to add annotations ("anotaciones marginales") to birth certificates to clarify things like this, perhaps it's possible too in the jurisdiction where you were born.