Cumberbatch made the comments during an interview with Reader's Digest, in which he was promoting rival BBC period drama Parade's End.
"We're living in a culture now that's revering, or having a nostalgia trip with, the beginning of the 1900s," he was reported as saying.
"Although Downton traded a lot on the sentiment in the last series... but we won't talk about that series because it was, in my opinion, f**king atrocious."
Hugh Bonneville, Dan Stevens and Brendan Coyle have now referenced the Sherlock actor's put-down of their ITV programme by simultaneously changing their profile pictures to the cover of the Reader's Digest issue containing his quotes.
The image features a large shot of Cumberbatch's face and the heading: "Move over, Downton!"
First-look images and trailers of Downton Abbey's third series have been released in the run-up to its UK launch this autumn. The show will air in the US from January 6.
Parade's End begins tomorrow (August 24) at 9pm on BBC Two.