The Adamic covenant was God’s covenant with Adam, where Adam was given the responsibility of sustaining, maintaining and keeping the garden in Eden in it’s organic, moral & spiritual state:

Genesis 2:15 (NKJV):

15 Then the Lord God took the man and put him in the garden of Eden to tend and keep it.

The Edenic covenant which God made with man was the type of covenant where God commanded Adam to tend (to take care of, to farm, to uphold the spiritual identity, to pray over, to maintain the domestic status of the animals, to sustain the organic moral status of the trees, plants, resources and all the living animism in the garden of Eden),

And to also keep it, (conduct the Garden of Eden as a business)

To read more about the prophetic and spiritual meaning of the Adamic covenant click on the link below