Complex sentence: The annals of Ireland make a distinction made between "Gaill" and "Sasanaigh" (Fionnghaill or Dubhghaill), depending upon how much the poet wished to flatter his patron.
Split into simpler sentences: The annals of Ireland make a distinction made between "Gaill" and "Sasanaigh". The former were subdivided into ("Fionnghaill " or"Dubhghaill"), depending upon how much the poet wished to flatter his patron.