The Problem of Starting with Transmitted Evidence
If we begin with transmitted evidence to convince someone who does not believe in God, we are asking him to accept a source he does not recognize.
Therefore, it is not logically sound to make transmitted evidence the first foundation in discussion with an atheist or an agnostic.
It may, however, be mentioned as supporting indication when it strongly agrees with rational conclusions.
Rational Evidence Comes First Here
Rational evidence is initially acceptable to most people because reason and logic are not exclusive to believers.
For that reason, rational arguments take priority when discussing the existence of God with those who deny Him.
Their summary is that sound reason points to the universe being created by an eternal, knowing, wise, and powerful Creator.