Jesus said the unsaved could do good things.
Luke 11:13 If ye then, being evil, know how to give good gifts unto your children: how much more shall your heavenly Father give the Holy Spirit to them that ask him?
Notice also that Jesus did not mention being regenerated to receive the Spirit, only that they ask just as they were.
Paul said an unsaved man could be good.
Rom 5:7 For scarcely for a righteous man will one die: yet peradventure for a good man some would even dare to die.
Here Paul speaks of two different types, a righteous man (one who is saved), and a good man (a good person, but not a saved person).
The scriptures show an unsaved person can seek God.
Mark 10:17 And when he was gone forth into the way, there came one running, and kneeled to him, and asked him, Good Master, what shall I do that I may inherit eternal life?
18 And Jesus said unto him, Why callest thou me good? there is none good but one, that is, God.
19 Thou knowest the commandments, Do not commit adultery, Do not kill, Do not steal, Do not bear false witness, Defraud not, Honour thy father and mother.
20 And he answered and said unto him, Master, all these have I observed from my youth.
21 Then Jesus beholding him loved him, and said unto him, One thing thou lackest: go thy way, sell whatsoever thou hast, and give to the poor, and thou shalt have treasure in heaven: and come, take up the cross, and follow me.
22 And he was sad at that saying, and went away grieved: for he had great possessions.
23 And Jesus looked round about, and saith unto his disciples, How hardly shall they that have riches enter into the kingdom of God!
This young man was unsaved, yet he desired to be saved. He sought God. And Jesus said "thou knowest the commandments", so Jesus himself confirmed that the unsaved can understand God's word to a degree. And then when the young man said he had obeyed all the commandments from his youth, Jesus said he only lacked "one thing". So this shows that he was indeed a very good and moral person.
But he loved and trusted in his wealth more than God.
And this young man went away unsaved. But this passage shows the unsaved can desire and seek God, understand the scriptures, and do many good things.
It is because you are trapped in the teaching of Total Depravity that you cannot see this.
And what about the Philipian jailer? Did he seek God while unsaved? Yes.
Acts 16:30 And brought them out, and said, Sirs, what must I do to be saved?
31 And they said, Believe on the Lord Jesus Christ, and thou shalt be saved, and thy house.
32 And they spake unto him the word of the Lord, and to all that were in his house.
33 And he took them the same hour of the night, and washed their stripes; and was baptized, he and all his, straightway.
The Philipian jailer was unsaved, yet he sought after God and salvation. And we know he was not regenerated, because Paul told him he needed to believe. And notice that Paul preached the word of God to him and all that were in his house. After this he accepted Jesus and was baptized.
As long as you cling to this false doctrine of Total Depravity, you will never understand the scriptures. The scriptures clearly show that the unsaved can do some good things, and they can also have a desire and seek the Lord. And they can understand the scriptures to a degree.