The Northern Irishman labelled the performance of the match officials as "horrendous" as his charges fell to a disappointing 2-1 defeat at Manchester City on Thursday.
Rodgers' was particularly disappointed with the decision to disallow a goal from winger Raheem Sterling with the score still at 0-0, with replays showing the England international was in an onside position.
The 40-year-old also felt Luis Suarez should have had a penalty in the closing stages after tangling with Joleon Lescott.
Speaking after the game, Rodgers questioned the appointment of Mason who was born in Bolton, saying: "Hopefully we won't have a Greater Manchester referee with Liverpool-Manchester games in future."
The governing body must now decide whether Rodgers' comments "question the referee's integrity or imply bias".
Liverpool dropped to third in the Premier League as a result of the setback at the Etihad Stadium, and face a difficult trip to Chelsea on Sunday.
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