Manly's sole score was a third minute Jamie Lyon penalty goal until Lewis Brown burrowed over from dummy half in the 32nd minute.
The visitors had successfully wrestled momentum back their way when Dylan Walker palmed off Moses and Kyle Lovett to score in the 37th minute for the halftime score of 16-10.
A Jorge Taufua try and Lyon's conversion in the 42nd minute tied the scored at 16-all and Manly had all the running.
The game then turned on a Taupau error.
Moses had put through a poor last tackle kick and the visitors had the ball on the 35m line. However Taupau was penalised for a shoulder charge on Moses and from the ensuing set of six, Jordan Rankin crossed out wide in the 50th minute to put the home side back ahead.
Nofoaluma scored his second with a sweet step nine minutes later and the Tigers were ahead 24-16.
Tedesco sealed the win with his second four-pointer with nine minutes remaining, adding his third in the 78th minute.
Tigers back-rower Curtis Sironen suffered a 10th minute hamstring injury and didn't return.
The Tigers, who beat the Warriors in round one, join South Sydney, Brisbane, Canterbury, Melbourne and Canberra as the undefeated teams after two rounds.
Manly were much improved after their poor first round loss to Canterbury, but enter round three without a victory.
Successive wins have eased the pressure on Tigers coach Jason Taylor.
"It was a good performance," he said.
"I am really happy with the way we fought hard in the second half when it was 16-all.
"The way we are playing has continued on from how we were playing at the end of last year."
Manly coach Trent Barrett was upset with his side's inconsistency and lack of "resilience".
"There was some improvement there from last week," he said.
"We were good in patches during the game but we were poor in patches too.
"We have to be better on our tryline. We have to be more resilient."
Things get no easier for the Sea Eagles next Monday when they play in form Cronulla at Brookvale Oval with out of action fullback Brett Stewart (hamstring) no guarantee of returning for that match.
Meanwhile, after recent scrutiny over officials being touched in the NRL, Moses might find himself in the spotlight after footage emerged of him holding the arm of the referee at the scrumbase during the match.
- AAP
