The Righteousness that comes from the Law can only make us cautious of Sin; It is the righteousness that comes through the Spirit of God in us is, that makes us righteous.
There is no single person who came called righteous Romans 3:10″As it is written there is none righteous, no , not one.” so how does one receive the righteousness of God??
Romans 3:21 The righteousness of God comes by FAITH in Jesus Christ unto all and upon all them that believe: for there is no difference”.