God's everlasting promises are for us in the new covenant, through Jesus Christ (Jeremiah 31:31-34; Hebrews 7:22; 8:7-13). What God promises us includes: (1) God will put His laws in our mind; (2) God will be your God and we are His people; (3) We will all know the LORD; (4) God will forgive our sins and remember them no more.
When men entered into covenant during Bible days, they made promises sworn with an oath. Then, they offered an animal as a sacrifice. The slain animal was cut in half. Men entering into covenant walked between the two halves. Symbolically, they were saying, may I be cut off as this animal if I keep not my word of promise.
God's everlasting promises are for believers with an oath. No animal was sacrificed. Instead, God's only begotten Son was the sacrifice of the everlasting covenant. God's promises to every believer are sealed in the precious blood of Jesus, known in Scripture as the Lamb of God. God's word of bond with believers are guaranteed and cannot be broken. Or, as the hymn says, "standing on the promises that cannot fail."
God's everlasting covenant promises are applied to every believer. He transforms our minds to know God's righteous will. He gives us the guarantee that we are His people. We know Him as the LORD of our lives. LORD is God's covenant name. He has forgiven our sins and will remember them no more. Our sins are taken away and forgotten, through the blood of the everlasting covenant, at the cross of Jesus.
