Baal, is IIRC the Hebrew for Husband. The earth-mother was who Baal was united with.
The rain (semen) from the sky god would fall onto the earth mother, making her fruitful. The dead would be buried (as seeds) in the ground to gain eternal life.
It was derived from Osiris/Isis cults in Egypt. Oh, they had a son too.
Christianity has a Father (Jehovah) Mother (Holy Spirit) and Son (Jesus) also.
Ah, no. No it doesn't. The Holy Spirit is never referred to as a mother anywhere in Scripture. The Holy Spirit is spoken of with a masculine pronoun whenever the pronouns are used for Him. See John 16:13 for instance.
Further, theologically the metaphor doesn't hold. Jesus is eternally generated by the Father, and the Spirit proceeds from the Father and the Son. That obviously destroys the metaphor.
Christianity has nothing of the sort in the trinity. God the Father, God the Son, and God the Holy Spirit are one and the same God. They are separate persons. There is no gender in the trinity strictly speaking.
Jesus who is the son of God and the second person assumed the nature of man, and became one person with two natures. In his humanity he has gender.
That aside, Christianity believes in the trinity. One God three persons. Not in a Father, mother, son example which you ascribe to God.