As usually happens, a synergist will post a verse out of context, assume its meaning, and a monergist will have to exegete the passage.
Okay, so be it.
But you must say the things that are consistent with sound teaching. Older men are to be level headed, worthy of respect, sensible, and sound in faith, love, and endurance. In the same way, older women are to be reverent in behavior, not slanderers, not addicted to much wine. They are to teach what is good, so they may encourage the young women to love their husbands and to love their children, to be self-controlled, pure, homemakers, kind, and submissive to their husbands, so that Gods message will not be slandered. In the same way, encourage the young men to be self-controlled in everything. Make yourself an example of good works with integrity and dignity in your teaching. Your message is to be sound beyond reproach, so that the opponent will be ashamed, having nothing bad to say about us. Slaves are to be submissive to their masters in everything, and to be well-pleasing, not talking back or stealing, but demonstrating utter faithfulness, so that they may adorn the teaching of God our Savior in everything. For the grace of God has appeared with salvation for all people, instructing us to deny godlessness and worldly lusts and to live in a sensible, righteous, and godly way in the present age, while we wait for the blessed hope and appearing of the glory of our great God and Savior, Jesus Christ. He gave Himself for us to redeem us from all lawlessness and to cleanse for Himself a people for His own possession, eager to do good works. (Titus 2:1-14 HCSB)
Notice the types of people Paul is talking about. Old and young men. Old and young women. Salves and masters. Etc.
Then he says "For the grace of God has appeared with salvation for all people, instructing us to deny godlessness and worldly lusts and to live in a sensible, righteous, and godly way in the present age, while we wait for the blessed hope and appearing of the glory of our great God and Savior, Jesus Christ"
Now, if "all people" means every single person who has ever lived, then you'd have to say that all people are being instructed to deny godlessness, and to live sensibly (which I'm sure you will). But it would be in error to say that all men are waiting for the blessed hope.