Joe and Sidney Rigdon tried to one-up their competitors by reinstituting the Old Testament priesthood. But after Christ (the last High Priest), priesthoods were replaced by the inherent authority in the Holy Name of JESUS CHRIST.
20 For where two or three are gathered together in MY NAME, there am I in the midst of them. (Matthew 18)
13 And whatsoever ye shall ask in MY NAME, that will I do, that the Father may be glorified in the Son.
14 If ye shall ask any thing in MY NAME, I will do it. (John 14)
26 But the Comforter, which is the Holy Ghost, whom the Father will send in MY NAME, he shall teach you all things, and bring all things to your remembrance, whatsoever I have said unto you. (John 14)
7 Therefore, WHATSOEVER YE SHALL DO, YE SHALL DO IT IN MY NAME; therefore ye shall call the church in my name; and YE SHALL CALL UPON THE FATHER IN MY NAME that he will bless the church for my sake. (3 Nephi 27)
24 And these signs shall follow them that BELIEVE IN MY NAME shall they cast out devils; they shall speak with new tongues; they shall take up serpents; and if they drink any deadly thing it shall not hurt them; they shall lay hands on the sick and they shall recover;
25 And WHOSOEVER SHALL BELIEVE IN MY NAME, doubting nothing, unto him will I confirm all my words, even unto the ends of the earth. (Mormon 9)