Younger men are urged to be self-controlled. Titus is also told to show himself as an example in good works with integrity and sound speech. See Titus 2:6–8.
In Titus 2:6–8 Paul gives a short, focused instruction for younger men: they should be clear-headed and self-controlled. He then turns to Titus himself, telling him to back up his urging with a life that visibly does good. This unit sits inside a larger set of instructions for different groups in the community (older men, older women, younger women, younger men, and slaves) in chapter 2. The pattern is: give fitting guidance to a group, then show how that conduct supports the message the community claims to represent.
Paul’s instruction here is short but wide-ranging: younger men are to be “sober-minded,” meaning steady, self-controlled, and not driven by impulse (explicit). The focus quickly shifts to Titus. Titus is not only to urge others but to be a visible pattern of “good works” in every area (explicit).
A careful answer keeps the immediate passage, the book's argument, and the whole-Bible storyline together, so the question is answered in context instead of as a detached idea.
Start with Titus 2:6-8, then read the surrounding section so the answer stays connected to the passage's flow.
6Likewise, exhort the younger men to be sober-minded;
7in all things showing yourself an example of good works; in your teaching showing integrity, seriousness, incorruptibility,
8and soundness of speech that can`t be condemned; that he who opposes you may be ashamed, having no evil thing to say about us.