Likely a modern blend of Damari and Maurice.
Damauri is a contemporary American creation, likely formed by combining the prefix 'Da-' with the name Mauri or Damari. It shares etymological roots with Maurice, which refers to the Moors or 'dark-skinned,' and is often chosen for its rhythmic, modern sound.
Less common today
Damauri isn't in the latest US Top 1000. It last peaked at #3,292 in 2012.
US births per 5-year period, 1990βpresent (SSA data).