text: Orthodox convert here. Non-Orthodox conversions are never accepted by Orthodox Jews. Pretty much all religious Sephardim are Orthodox. Sephardim should accept any Orthodox conversion from a well-recognized beit din. Converts need to choose whether they will be Ashkenazi or Sephardi during the conversion process. If you're planning on being Sephardi it's best (but not absolutely required) to convert with a Sephardi rabbi (as your supervising/sponsoring rabbi.) The halacha and minhagim are often different for Sephardim so it makes sense to convert with the guidance of a Sephardic rav.