Now baptism is the sacrament of initiation, which at Calvary replaced circumcision (Colossians 2:11-13). Although God before the fall erected His first Covenant with Adam as well as with all his descendants (Genesis 1:26f & 2:15 cf. Hosea 6:7f), there were then no sacraments as such — till after humanity’s lapse into sin.
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Thereafter, God gave clothes to Adam and his descendants. That is why babies are to be clothed with or to "put on" Christ — even in their infancy (Galatians 3:27 cf. Genesis 3:21).
But fallen man constantly sins, even from his very birth onward.4 So God renewed His transgressed Covenant — with Noah and his family (Genesis 6:18 cf. Hosea 6:7f).