Was that a Renewed Covenant or New Covenant

[Dredge]

The word meaning in this discussion has been very informative, but it appears to me that verse 34 punctuates it being new and not renew.

Jer 31:34 And they shall teach no more every man his neighbour, and every man his brother, saying, Know the LORD: for they shall all know me, from the least of them unto the greatest of them, saith the LORD: for I will forgive their iniquity, and I will remember their sin no more.

Since we are still teaching "know the Lord", does that mean this is a future promised covenant? If so are we still under the old covenant and if not under the old covenant what covenant are we currently under?