However, the Rugby Football League announced on Monday that New Zealand cited the incident, and Burgess was instructed to conduct disciplinary hearings.
Rabbitoh is also fined $ 900, but has the possibility of appeal.
Watween and Penritha, Watene-Zelezniak, had to deal with the injury shortly after they got in touch with Burgess.
Burgess later apologized for the incident, saying on Twitter: "I want to show everyone clearly that I've never been intent on ever evaluating anyone.
"It's not in my makeup as a rugby league player and it's never been. I apologize to anyone who thinks they're bad after seeing the footage.
"I accept my punishment, but I will never accept that I deliberately assessed the teammates. I have too much respect for the players I play against and with me."
Burgess will miss the Sunday's third test against Kivi before serving NRL bans.
The suspension is the main strike for the South, which in the first round face the defending Premier Sydney Roosters before the clash with the traditionally fast start of St. George Illawarra in Kogarah.
The rabbits are already faced with the uncertain start of their season, with speculations continuing to mount Anthony Seibold and Wayne Bennett's replacement training in a few weeks.