Can an unmarried mother regain favor from our Lord for her children's sake and herself?
A sinner finds favor with the Lord only through faith in Jesus Christ, as the Bible says:
Your previous sins (including your sin of having children outside marriage) are forgiven by faith in Jesus Christ. As the Bible says:
If you have placed your faith in Jesus Christ, then you are already forgiven for all your sin and have found favor with the Lord and are blessed into eternity. If you have not yet placed your faith in Jesus Christ, we urge you to do so. You may read more about saving faith in this article: How can I go to Heaven?
Finally, we highly recommend you listen to our entire Romans Bible study available for free.