What do they call the acknowledgment of one's sins or wrongs in front of God in religion?

Confession, in many religions, is the acknowledgment of one's sins (sinfulness) or wrongs.

In Catholic teaching, the Sacrament of Penance is the method of the Church by which individual men and women confess sins committed after baptism and have them absolved by God through the administration of a Priest.

In Hinduism confession is part of Prāyaścitta, a 'dharma'-related term and refers to voluntarily accepting one's errors and misdeeds, confession, repentance, means of penance and expiation to undo or reduce the karmic consequences.

In Islam the act of seeking forgiveness from Allah for sins called Istighfar. Confession of sins is made directly to Allah and not through man.

In Judaism, confession is an important part of attaining forgiveness for both sins against God and another man