'Acknowledging' in the Bible

By faith Abel offered to God a more acceptable sacrifice than Cain, through which it was testified of him that he was righteous (upright, in right standing with God), and God testified by accepting his gifts. And though he died, yet through [this act of] faith he still speaks.

All these people died having faith. They did not receive the things that were promised, yet they saw them in the distant future and welcomed them, acknowledging that they were strangers and foreigners on earth.

Through him then let us continually offer up a sacrifice of praise to God, that is, the fruit of our lips, acknowledging his name.