Leinster Council issued a 96 week ban for a 'non-participating player' after the incident.
Tullamore GAA are set to appeal the Leinster Council's proposed bans for two of their members.
A non-participating player's proposed 96-week suspension is for pushing referee Barry Tiernan.
The incident occurred at the end of the Offaly club's Leinster Championship defeat to Summerhill from Meath.
Another Tullamore club member has been given a proposed 48-week ban while the club has been fined €2,500.
Full Interview: Portarlington Footballer Ronan Coffey
Full Interview: The Down's Manager Dermot Power
St Brigid's And St Joseph's Aiming To Reach Leinster Semi-Finals
Ballinagar And Milltown To Meet In Leinster Intermediate Quarter-Final
Ronan Coffey Praises Portarlington’s Young Guns Ahead Of Leinster Quarter-Final
Mauricio Pochettino Set To Be Appointed Manchester United Manager
Darragh Murray Named In Irish Squad For Fiji Clash
Portlaoise Panthers Aiming To Bounce Back In Division One
Portarlington On The Road In Leinster
The Down's Building Towards Leinster Football Quarter-Final
Laois Provisional League Fixtures Revealed
The Harps Manager Praises His Sides Efforts In Leinster
Buccaneers Claim Back To Back AIL Wins
Kilcormac Killoughey Captain Full Of Praise For Goalkeeper
Lough Lene Gaels Suffer Late Heartbreak In Leinster Quarter-Final
Crookedwood Win Leinster Junior Camogie Title
Conor Slevin Wins Dramatic Leinster Quarter-Final For Kilcormac Killoughey
Ireland Secure Comfortable Win Over Argentina
Kilcormac Killoughey Seal Win But Heartbreak For Lough Lene Gaels And The Harps