Adam Elliott and Asipeli Fine have both copped heavy fines from Canterbury after the club were slugged with a record $250,000 sanction for their Mad Monday saga by the NRL.
The Bulldogs were issued with a breach notice on Thursday after images of players stripping naked and passing out on the street were published by media outlets on Tuesday.
The club has five days to respond and chief executive Andrew Hill said they accepted the behaviour was inappropriate, but he did not indicate whether he would challenge the fine's severity.
Hill handed down $25,000 fines to Elliott and Fine - of which $10,000 is suspended - after the nude images of the pair appeared in the media.
Marcelo Montoya and Zac Woolford were also fined $10,000, with $5000 suspended. No staff present at the event have been were sanctioned.
None of the players were suspended from any matches, but Greenberg revealed three players were under police investigation.
"These are good people who have acted in an immature and juvenile way. They have accepted responsibility for their actions and have apologised to the club for their behaviour," Hill said.
Greenberg said he took a dim view of the incident given the event was organised by the club and senior officials, including coach Dean Pay and general manager of football Gareth Holmes, were both present at the Harbour View Hotel in Sydney's Rocks.
"The club organised the event and failed to implement the most basic of measures to ensure it was conducted in an appropriate way," he said.
"The club's failure to manage the event followed specific directives to all clubs to ensure these type of events do not damage our game.
"The players' behaviour embarrassed themselves, their club and the game."
It's the biggest fine the NRL has ever handed down for behavioural issues.
By comparison, two years ago Mitchell Pearce was fined $125,000 over his lewd Australia Day video.
Greenberg, a former CEO of the Bulldogs, said he wanted to send a message after the drama diverted attention from the first week of the finals.
"The actions of some players and officials was inexcusable and we are determined to send a message that it will not be tolerated on this occasion - or in the future," he said.
"There has been a real improvement in player behaviour this year - and we should all acknowledge that.
"But to have this kind of incident on the eve of our finals is more than disappointing and there has to be a deterrent to ensure we have no repeat of this behaviour."