Gino, thanks for your question.

My statement -
 
Since the beginning of the Church Age many believers have died who were living in disobedience to God's will and not ready to meet Him as He would have preferred them to be.

Your question -

So, what happens to the ones mentioned, that did not live as the Lord preferred?
Would they never have resurrected bodies?

My answer -

 God would prefer that we stay connected, be obedient and be ready for Him at all times - until the end - whether by death or the rapture. Because, God is a rewarder of those who diligently seek Him and every believer will be rewarded according to their deeds. Heaven is promised to all true believers in His Church but the rapture is not, it is an event for those who "qualify" as His Bride.
Those in the Church who have already died in Christ  are resurrected, in heaven and rewarded accordingly. Their position (Bride or....) in heaven is decided upon by God.  Those now living, who are saved,  but missed the rapture (for the Bride) because they were not prepared and ready - do not lose their salvation but must continue and remain in the faith until death or The Second Coming - where they will meet Him in the air and be "transformed" to be with Him forever.
 
Doug L