In context of the scripture above, perfection is not referring to sinlessness as some think it to be. In the Greek, perfection refers to being qualified or to be made competent.
The epistle of Timothy&Titus is regarded as a pastoral epistle. Paul wrote these epistles to young pastors. When he spoke about the man of God being made perfect, he was talking about becoming competent or qualified for ministry.
The scripture is profitable for making the preacher competent or qualified for the task of ministry. This is the reason I advocate proper training in scriptures for those called into the five fold ministry. Ability to talk or motivate people is not what qualifies for ministry.
Often, I compare the butcher with a surgeon. Both of them are trained to cut flesh using knife but for different purposes. The butcher uses knife to kill but the surgeon uses knife to save lives. Same tool, similar activity but different purposes.
No man in his/her right senses will submit himself to a butcher for surgery because the competence of a butcher is not geared towards saving lives.
The man called by God to stand before His people must submit himself to the inspired word of God for character formation, and for proper understanding of what is written therein so that he can communicate same effectively.
When the man of God is made perfect (qualified in character &competent in knowledge of scriptures) for ministry, then, his life will produce good works.