8 But Noah found grace in the eyes of the Lord. King James Version (KJV).
Genesis 6:8
ESV - 8 But Noah found favor in the eyes of the Lord.
For follow-up discussion and general commentary on the topic. Comments are sorted chronologically.
I would say that it is the expression "found grace" in the verse cited question that indicates "acceptance", rather than anything to do with "in the eyes of the Lord".
"In the eyes of the Lord" (as used in the verse cited in the question) indicates God's judgment or consideration, similar to references today to "in the eyes of the law" (for example), meaning how a matter is judged or considered from a legal standpoint.