"This age and the age to come"
The Bible divides time into 2 worlds (ages): "this age" and "the age to come". They correspond with the Old and New Covenant ages. The New Testament was written during the "last days" of the Old Covenant age which was THEN called "this age". The Last Days of the Old Covenant age were the 40-year transition that ended when the Temple was destroyed - ending the Old Covenant blood sacrifices.
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Scriptures:
Ephesians 1: 17 that the God of our Lord Jesus Christ, the Father of glory, may give to you the spirit of wisdom and revelation in the knowledge of Him, 18 the eyes of your understanding being enlightened; that you may know what is the hope of His calling, what are the riches of the glory of His inheritance in the saints, 19 and what is the exceeding greatness of His power toward us who believe, according to the working of His mighty power 20 which He worked in Christ when He raised Him from the dead and seated Him at His right hand in the heavenly places, 21 far above all principality and power and might and dominion, and every name that is named, not only in this age (aion) but also in that which is to come. 22 And He put all things under His feet, and gave Him to be head over all things to the church, which is His body, the fullness of Him who fills all in all.
1 Corinthians 15: 22 For as in Adam all die, even so in Christ all shall be made alive. 23 But each one in his own order: Christ the firstfruits, afterwards those who are Christ’s at His coming. 24 Then comes the end, when He delivers the kingdom to God the Father, when He puts an end to all rule and all authority and power. 25 For He must reign till He has put all enemies under His feet. 26 The last enemy that will be destroyed is death. 27 For “He has put all things under His feet.” But when He says “all things are put under Him,” it is evident that He who put all things under Him is excepted. 28 Now when all things are made subject to Him, then the Son Himself will also be subject to Him who put all things under Him, that God may be all in all.
Matthew 26:29 - “But I say to you, I will not drink of this fruit of the vine from now on until that day when I drink it new with you in My Father's kingdom.”
1 John 3:2 - Beloved, now we are children of God; and it has not yet been revealed what we shall be, but we know that when He is revealed, we shall be like Him, for we shall see Him as He is.
Matthew 26:64 Jesus said to him, “It is as you said. Nevertheless, I say to you, hereafter you will see the Son of Man sitting at the right hand of the Power, and coming on the clouds of heaven.”
Daniel 9: 26 “And after the sixty-two weeks Messiah shall be cut off, but not for Himself; And the people of the prince who is to come Shall destroy the city and the sanctuary. The end of it shall be with a flood, And till the end of the war desolations are determined. 27 Then he shall confirm a covenant with many for one week; But in the middle of the week He shall bring an end to sacrifice and offering. And on the wing of abominations shall be one who makes desolate, Even until the consummation, which is determined, Is poured out on the desolate.”
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...“nothing is more familiar in the Jewish terminology of our Lord's time than the current phrases this age and the age to come... by this age they meant and could mean nothing else than the current period in which they were living, the then present age... The age to come, the Messianic time, would accordingly be the period that would follow immediately after the termination of the pre-Messianic age. That time had not yet come when Jesus spoke. According to the whole trend of New Testament teaching that age and the Messianic kingdom were near or at hand. Christ's ministry fell in the last days of an aion . -Milton Terry, Biblical Apocalyptics , 1898