But didn’t Paul refer to Satan as the “god of this world,” and Jesus refer to him as “ruler of this world”? Yes they did, but neither made any intimation that Adam was formerly “the god of this world” or that Satan gained the title from Adam when he fell.
Additionally, Satan’s title as “god of this world” does not prove that Satan can do anything he wants on the earth or that God is powerless to stop him. Jesus said, “All authority has been given to Me in heaven and on earth” (Matt. 28:18, emphasis added). If Jesus has all authority on the earth, then Satan can operate only with His permission.
Who gave Jesus all authority in heaven and on earth? It must have been God the Father, who possessed it Himself in order to give it to Jesus. That is why Jesus spoke of His Father as “Lord of heaven and earth” (Matt 11:25; Luke 10:21, emphasis added).
God has had all authority over the earth since He created it. He gave a little authority to humans at the beginning, and humanity has never lost what God originally gave.
When the Bible speaks of Satan being the god or ruler of this world, it simply means that the people of the world (who are not born again) are following Satan. He is the one they are serving, whether they realize it or not. He is their god.