Baphomet is part of its campaign to "complement and contrast" a Ten Commandments monument in Oklahoma City on the grounds of religious freedom.
Satanic Temple said it does not worship Satan, but instead seeks "to encourage benevolence and empathy among all people".
The lawsuit, filed on Thursday in New York, claims an icon similar to their own appears in four episodes of the series.
Characters in the show who worship the "Dark Lord" or Satan practice cannibalism and forced worship, and the Satanic Temple argues its members are being associated with these "evil antagonists", the BBC report said.
Greaves confirmed the group was going to take legal action against the show's production companies for "appropriating copyright monument design to promote their asinine Satanic Panic fiction".
Founded in 2012, the group does not believe in a supernatural Satan, but instead works to ensure the separation of church and state and holds Satan as a symbol of "opposition to arbitrary authority".
"The Chilling Adventures of Sabrina" is a supernatural programme on Netflix following Sabrina Spellman, a half-mortal half-witch teenager. It is based on a comic book of the same name, which also inspired the show "Sabrina the Teenage Witch", a series which ran from 1996-2003.
(This story has not been edited by Business Standard staff and is auto-generated from a syndicated feed.)