During the Temptations in the desert one of the the temptations was the offer for all the kingdoms of this world to become Jesus’ if only he would bow down and worship Satan, But at The Great Commission Jesus says “All authority has been given to me in heaven and on earth. All authority is now Christ’s. As the Apostle Paul writes:
He has rescued us from the dominion of darkness
& brought us into the kingdom of the Son he loves
– Colossians 1:13
So, here’s a real clarification; Satan has a dominion, and Jesus truly has a kingdom. The words used here are totally different. A dominion is a power or authority, but a kingdom is something altogether different. A kingdom is The Power and The Authority. Satan has a dominion, but no “kingdom”. He has authority only because man allowed it to happen, but he is not The Authority.
Saint Augustine explains Jesus’ authority this way:
“The devil found Christ innocent, but none the less smote Him; he shed innocent blood, and took what he had no right to take. Therefore it is fitting he be dethroned and forced to give up those who were under his power” – Saint Augustine
The idea is that God Our Father by Jesus Christ is a liberator. He is rescuing people from the dominion of darkness and bringing them into His Kingdom and His Lordship.