Referee Martin Sludden had to be escorted off the pitch after the final
Meath's county board has decided not to offer Louth the opportunity to replay the Leinster senior football final.
The match at Croke Park on Sunday ended in controversy when referee Martin Sludden incorrectly awarded a goal which gave Meath victory.
Sludden admitted his error afterwards, prompting calls for the match to be played again.
However, Meath players voted against a rematch and this has now been backed up by the official verdict from the board.
Meath officials have also discussed the fall-out from referee Sludden's decision to award the Royals that last-gasp winning goal.
Sludden was assaulted by Louth fans as made his way off the field.
A number of Meath players were also struck by Louth fans after the game and it is not clear what influence this may have had on the Royal squad.
We will provide full co-operation with the relevant authorities to deal with the offenders
Louth county board statement
The Louth GAA board released a statement on Monday night which "condemned the unsavoury incidents after the match".
"We will provide full co-operation with the relevant authorities to deal with the offenders," said the Louth statement.
On Monday, Tyrone referee Sludden admitted he made a mistake in awarding Meath a goal which gave them the Leinster provincial crown.
Sludden was attacked by a number of Louth fans at the final whistle and Garda has been provided with TV footage of the post-match incidents.
The GAA has ruled out a replay, saying that the referee's report of the full-time score was final.
However, if Meath had offered a replay, it is believed this would have been considered.
Sludden awarded Meath a goal deep into injury-time, giving them a 1-12 to 1-10 victory.
TV replays showed that the score should have been disallowed as Meath's Joe Sheridan threw the ball over the line.