The suspension runs up to and including June 23 after Luatua was found to be in violation of law 10.4 (j), but because Super Rugby is on a three-week break and the flanker hasn't been selected in this week's North-South fixture he will effectively escape unpunished.
Luatua entered an early guilty plea, which cut the suspension from six to three weeks after he was shown a yellow and white card for his actions.
The Blues are bottom of the Super Rugby standings following the loss, their 12th from 14 games this season and have a bye when Super Rugby resumes later this month so they won't play again until July 7, against the Force.