Sri Lanka Cricket said in a statement on Tuesday that it decided to refer the "unsubstantiated statements" of the players to the disciplinary committee "for their views and recommendations."
Sangakkara and Jayawardene, on their return home from the World Twenty20 triumph in Bangladesh this month, hit out at board officials who criticized them for announcing their retirement from the shortest format of the game to the media before discussing it with officials.
However, they said SLC secretary Nishantha Ranatunga and chief executive Ashley de Silva criticized them in the media without ascertaining if they really made such a statement.
The two players played crucial hands in the final against India, and Sangakkara's match-winning half century won him the player of the match award.
Both players subsequently handed letters of resignation from T20 internationals to the cricket board.