For God has revealed his grace for the salvation of the whole human race. That grace instructs us to give up ungodly living and worldly passions, and to live self-controlled, upright and godly lives in this world as we wait for the blessed Day we hope for when the glory of our great God and Saviour Jesus Christ will appear.
He gave himself for us, to rescue us from all wickedness and to make us a pure people who belong to him alone and are eager to do good (v11-14 GNB)
In Titus chapter two Paul is giving Titus instruction on teaching the new Christians in Crete how to live lives that are pleasing to God.
In the same way that the letters to Timothy dealt with some of the cultural habits of the people of Ephesus, Titus is struggling with some of the behaviour in Crete.
It seems that Titus too was a relatively young man and needed to earn the respect of the Cretans through his example of Godly living. It seems that the Cretans of the time had a bit of a reputation of being lazy and deceitful and drank too much wine.
Titus is instructed to teach them to be more self-controlled and to be a good example in their behaviour and speech and be trustworthy so that those who opposed them would have no basis to say anything bad about them therefore making the teaching about God attractive to unbelievers.