I think nonbelievers rejection of God is mostly due to ;
- they demand a specific type of scientific evidence
- they cannot resolve the "problem of evil" (epicurus paradox")
Because they are fooled by Satan. This is prophesied in the very first chapter of the Bible that the much more intelligent angelic being fooled Adam.
Humans are easily fooled.
2 Thessalonians 2:11-12
For this reason God sends them a powerful delusion so that they will believe the lie
and so that all will be condemned who have not believed the truth but have delighted in wickedness.
That said. Humans don't rely on evidence to get to a truth of any kind. They rely exclusively on faith in human testimonies to get to a truth. Whoever failed to realize this is doomed. Science is about a repeatable phenomenon being witnessed by the few scientists acting as eyewitnesses then for their testimonies to reach the majority. That's how we know for a fact that black holes exist without any evidence given to us. Only a few scientists actually have the evidence (through expensive equipment hardly accessible to common people).
Everything else works in the same way. For example, covid-19 death tolls are listed on a daily basis for more than 2 years now. Which date's figure has ever been made evident to you as an individual. This simultaneously says that we don't rely on evidence to get to the truth! Only those few responsible for counting and gathering the figures could possibly have the evidence. They are the eyewitnesses, as for the rest they rely on faith to reach such a truth.
Moreover, scientific truth is easier to be evidenced simply because science is tied to a repeatable phenomenon that humans can repeatedly do tests and observations on. Satan fooled the atheists such that they think that everything is repeatable as science is. For example, historical truths are basically not repeatable thus it is difficult for humans to gather their evidence. When you ate eggs before the age of two, who can evidence that besides the testimonies from your own mother. That's the nature of what history is.
Under God's absolute sovereignty, Satan the crafty snake gives atheists the delusion that we need evidence to believe God, while in reality we only need testimonies to get to the truth. That's how the god of this world blinded the unbelievers. Moreover, if God is scientifically evidenced then how can men be saved when the Covenant clearly says that we need faith to be saved. Again, Satan blinded the minds of the atheists such that they failed to reason that if God is evidenced then humans are no longer savable.
Satan also fooled them to think that earth is heaven. An analogy is that Heaven is an aquarium while the earth is the filter security its cleanness. Earth is for every evil to show up such that evil can be destroyed once and for all by means of a lawful/legal process known as the Final Judgment. Atheists are fooled to mistakenly think that the filter is the aquarium.
In contrary, the following is very evident,
2 Corinthians 4:4
The god of this age has blinded the minds of unbelievers, so that they cannot see the light of the gospel that displays the glory of Christ, who is the image of God.