New Testament scriptural passages with 'age':
Matthew 12:31-33 (RSVCE) 31 Therefore I tell you, every sin and blasphemy will be forgiven men, but the blasphemy against the Spirit will not be forgiven. 32 And whoever says a word against the Son of man will be forgiven; but whoever speaks against the Holy Spirit will not be forgiven, either in this age or in the age to come.
Mark 10:29-31 (RSVCE) 29 Jesus said, “Truly, I say to you, there is no one who has left house or brothers or sisters or mother or father or children or lands, for my sake and for the gospel, 30 who will not receive a hundredfold now in this time, houses and brothers and sisters and mothers and children and lands, with persecutions, and in the age to come eternal life. 31 But many that are first will be last, and the last first.”
Similarly, Luke 18:29-31 (RSVCE).
1 Corinthians 10:10-12 (RSVCE) 10 nor grumble, as some of them did and were destroyed by the Destroyer. 11 Now these things happened to them as a warning, but they were written down for our instruction, upon whom the end of the ages has come. 12 Therefore let any one who thinks that he stands take heed lest he fall.
Ephesians 1:20-22 (RSVCE) 20 which he accomplished in Christ when he raised him from the dead and made him sit at his right hand in the heavenly places, 21 far above all rule and authority and power and dominion, and above every name that is named, not only in this age but also in that which is to come; 22 and he has put all things under his feet and has made him the head over all things for the church,
Hebrews 6:4-6 (RSVCE) 4 For it is impossible to restore again to repentance those who have once been enlightened, who have tasted the heavenly gift, and have become partakers of the Holy Spirit, 5 and have tasted the goodness of the word of God and the powers of the age to come, 6 if they then commit apostasy, since they crucify the Son of God on their own account and hold him up to contempt.
In the Nicene Creed recited at Mass in the US there is born of the Father before all ages vs. eternally begotten of the Father cf. Catechism of the Catholic Church - Credo Chart. Does this mean that there was eternity, the Beginning, and then there is a succession of ages?
In the Liturgy of the Eucharist, a line in Eucharistic Prayer III is now you never cease to gather a people to yourself while previously it was from age to age you gather a people to yourself perhaps suggesting that the latter conveyed a meaning that it wasn't meant to convey.
And finally, here is a mention of age by Venerable Bartholomew Holzhauser in this context:
He also wrote a remarkable work on the last book of the New Testament, the Revelation or the Apocalypse, which today is still held in high regard by Roman Catholics. He interpreted the book of the Apocalypse as follows: The seven stars and the seven candlesticks seen by St John signify seven periods of the history of the Church, from its foundation to its consummation at the final judgment. To these periods correspond the seven churches of Asia Minor, the seven days of the Mosaic record of creation, the seven ages before Christ, and the seven gifts of the Holy Ghost. Since, he claimed, all life is developed in seven stages, so God has fixed seven periods for regeneration.
Lactantius
"Therefore let the philosophers, who enumerate thousands of ages from the beginning of the world, know that the six-thousandth year is not yet complete. . . . Therefore, since all the works of God were completed in six days, the world must continue in its present state through six ages, that is, six thousand years. For the great day of God is limited by a circle of a thousand years, as the prophet shows, who says, ‘In thy sight, O Lord, a thousand years are as one day [Ps. 90:4]’" (Divine Institutes 7:14 [A.D. 307]).
What is the Catholic understanding of 'age' in Scripture and in its Tradition?