McCoist is said to be "angry and disgusted" at the opening title sequence for last night's (September 26) Scottish League Cup television coverage on the BBC.
The club said that it had also been "inundated" with calls and emails from supporters who were angry over the stylised animated sequence, which paid homage to the Mad Men titles by depicting a Rangers official, thought to be McCoist, falling from an office window at Ibrox and smashing a club crest.
A user on the Rangers Media forum has posted a video of the sequence online.
The incident follows a discussion on BBC Radio Scotland show Off the Ball last Saturday entitled 'Super Ally or Fat Sally', in which contributors debated whether fans were still behind McCoist.
Rangers has today contacted the BBC to complain about the animated sequence and Off the Ball discussion.
"As such, Rangers have made contact with the BBC this morning asking why they have chosen to act in such a manner and we await their response."
This marks the latest spat in an ongoing dispute between Rangers and the BBC, which resulted in the Scottish club withdrawing its co-operation with the corporation last October over "repeated difficulties".
Rangers also accused the BBC of a "pre-determined negative attitude towards" the club, although the BBC has denied this.