What do you mean by this?
"I baptize you in the name of the Father, Son, and Holy Spirit".
Clearly Jesus spoke in the Gospels about the FATHER, and that He is the Son of the Father.
In terms of the Holy Spirit, John [the Baptist] talks about baptism with the Holy Spirit in Matthew 3:11.
In the Acts of the Apostles, the Holy Spirit descended on the Apostles and endowed them with great gifts [see Acts 2:1-16 and possibly the rest of Acts chapter 2].
The Trinity is Father, Son and Holy Spirit. The second Christian Creed [not the Apostles Creed, but the Nicene Creed] described the beliefs in Father, Son, and Holy Spirit as one God in three Persons...
Mormons do not use a Baptism based on the three persons of God -- Father, Son, and Holy Spirit.