Motherwell are seeking clarity from the Scottish FA after feeling aggrieved at refereeing decisions against them in two successive games with Celtic.
The Fir Park side have also said they will investigate a number of incidents involving fans at Wednesday's match between the teams which resulted in 206 seats being broken at their ground.
Motherwell have contacted the SFA after Scott Sinclair went down to win a penalty in Sunday's League Cup final, with Moussa Dembele scoring the kick in a 2-0 win.
Wednesday's Scottish Premiership fixture between the two saw another soft penalty given late on when Callum McGregor fell, with Sinclair netting to save a 1-1 draw.
A Motherwell statement said: "It is unfortunate yet another Motherwell match has been dominated by a debatable decision from a match official.
"It is a call that has left the majority of our supporters again feeling extremely frustrated.
"Whilst everyone in football accepts match officials have a challenging role, and getting everything correct is almost impossible, it is disappointing to see high profile decisions affect both Wednesday night's match and the final in the way they have.
"To that end, we have made contact with the Scottish FA's head of refereeing to express our views and seek feedback."
Celtic captain Scott Brown claimed coins were thrown at the Glasgow side's players by home supporters in the midweek league match after Sinclair's late equaliser.
Motherwell say they will look into that - but added they are also working with their rivals to investigate acts of vandalism at their Lanarkshire home in a stand which housed visiting fans.
The statement added: "We also note the comments of the Celtic captain today. As we do at every match at Fir Park, if any incidents are reported to us, we will fully investigate them.
"Should any evidence exist, we will take appropriate action against any individuals who have acted unacceptably.
"In addition, we will work with Celtic to fully investigate, amongst other things, the numerous acts of vandalism, including 206 broken seats, damaged toilets and graffiti in the McEwan Fraser Legal South Stand."