A player is guilty of persistent offenses. what action should the referee take?

The referee should "Caution and show the player a yellow card".

A player who has been forewarned and cautioned may keep playing in the field; but, a player who gets a second alert in a match is sent off, demonstrated the yellow card once more, and after that a red card, implying that he should leave the field quickly and take no further part in the match.