Us = Christians
Titus 2
11 For the grace of God that brings salvation has appeared to all men, 12 teaching us that, denying ungodliness and worldly lusts, we should live soberly, righteously, and godly in the present age, 13 looking for the blessed hope and glorious appearing of our great God and Savior Jesus Christ, 14 who gave Himself for us, that He might redeem us from every lawless deed and purify for Himself His own special people, zealous for good works.
Paul is speaking to Christians. When he says "all", he is clearly referring to all in the church. Especially considering in the same sentence he says "us" referring to believers, and then going on to tell "us" how we should be behaving as Christians.
The whole context is believers.
Yes Amy, the word of God teaches US, but it does not teach THEM. But that is their fault, they do not listen or learn from God. It is just like school, why does one student make straight A's while another student fails? Isn't it because the A student pays attention and studies while the student who fails cuts up in class and never does his homework?
Titus 2:11 says the grace that brings salvation has "appeared" to ALL MEN. Some choose to listen and learn, others refuse to listen and learn.
Pro 1:22 How long, ye simple ones, will ye love simplicity? and the scorners delight in their scorning, and fools hate knowledge?
23 Turn you at my reproof: behold, I will pour out my spirit unto you, I will make known my words unto you.
24 Because I have called, and ye refused; I have stretched out my hand, and no man regarded;
25 But ye have set at nought all my counsel, and would none of my reproof:
26 I also will laugh at your calamity; I will mock when your fear cometh;
27 When your fear cometh as desolation, and your destruction cometh as a whirlwind; when distress and anguish cometh upon you.
28 Then shall they call upon me, but I will not answer; they shall seek me early, but they shall not find me:
29 For that they hated knowledge, and did not
choose the fear of the LORD:
30 They would none of my counsel: they despised all my reproof.
31 Therefore shall they eat of the fruit of their own way, and be filled with their own devices.
32 For the turning away of the simple shall slay them, and the prosperity of fools shall destroy them.
33 But whoso hearkeneth unto me shall dwell safely, and shall be quiet from fear of evil.
God does not say men are enslaved to do only evil, he said they do not CHOOSE the fear of the Lord.
And notice in verse 23 that it is those that repent when they hear God's reproof that he pours his Spirit upon, and then he gives them spiritual understanding. But that they could understand his reproof before receiveing the Spirit is shown, otherwise they could not turn at God's reproof, and AFTERWARD God pours his Spirit on them.
Total Inability is false and unscriptural. Man can learn from God if he chooses to do so, and if a man turns at God's reproof, then afterward God will pour his Spirit upon them, in fact, it is the condition required.