Verse 11 began a discussion on the grace of God, which continues until the end of chapter 2. Verse 13 refers to believers looking forward to a “blessed hope.” This hope is the appearance of the glory of Christ. The New Testament mentions various “appearings” of Jesus. He appeared on earth as a human (2 Timothy 1:10). Jesus also appeared alive after His resurrection (Acts 1:3).

There will also be a future appearing, mentioned in this verse, as well as 1 Timothy 6:14, 2 Timothy 4:1, and 2 Timothy 4:8. This future event is the one referred to as the “blessed hope,” a phrase the New Testament uses only here. This appearing will be “of the glory,” indicating the coming of Jesus in power. Jesus is called “our great God,” a reminder that Paul and Titus were fellow believers, and that Jesus is divine. Jesus is also called both Savior (Redeemer) and Christ. The term “Christ” is from the Greek word Christos, translated from the Hebrew term Mashiyach, or Messiah. These multiple titles emphasize the majesty of Jesus, and speak highly of His future coming.

For a more detailed summary select the link below.

“Titus 2:13” Bibleref.com

What does Titus 2:13 mean? | BibleRef.com

Titus 2:11-14

¹¹ For the grace of God has appeared, bringing salvation to all men, ¹² instructing us to the intent that, denying ungodliness and worldly lusts, we would live soberly, righteously, and godly in this present age; ¹³ looking for the blessed hope and appearing of the glory of our great God and Savior, Jesus Christ, ¹⁴ who gave himself for us, that he might redeem us from all iniquity, and purify for himself a people for his own possession, zealous for good works.