The Trio of the Talking Turkeys is a secret organization made up of, presumably, three non-anthropomorphic sentient turkeys with the ability to speak.
One of the many knockoffs of the Horde of the Violet Hare, the Trio of the Talking Turkeys are an organization of unknown purpose (although they, like all other Hare knockoffs, presumably want to search for Atlantean treasure). In 2018, after Joe Torcivia made a post on his blog wishing his readers a happy Thanksgiving, the Trio lamented in the comments that they wished Torcivia had not reminded people of the holiday, as they, being turkeys, had hoped that everyone would forget, sparing them from being eaten.
They decided that they would have to leave the country by accompanying the Mob of the Maroon Magpie on their annual migration, but mentioned that they wouldn't ask the Gang of the Green Gorilla to brainwash everyone into forgetting Thanksgiving, as they had heard that the Gang themselves were holding a Thanksgiving banquet and might make them the main course. 
Thankfully, the Trio of the Talking Turkeys survived the holiday, after Joe Torcivia, as president of the blog, gave them a presidential pardon.  One member of the Trio was captured by the Drove of the Database-Compiling Dromedaries at some point prior to June of 2019, and imprisoned in Research Laboratory 6 with other creations of Professor Scarper. Though initially cowering in a corner, the Turkey played a key role in the prisoners' escape plan spearheaded by Pessimist-242, leaping at Head Researcher Darius and pecking at his head until he surrendered.
Behind the scenes
The Trio of the Talking Turkeys is a parody of the Horde of the Violet Hare created by an anonymous reader in the comments section of a post of Joe Torcivia's The Issue At Hand, in continuation of the running gag existing on that blog in which various knockoffs of the Horde comment on Torcivia's posts.