When Sheriff Joy is leaving to find the men who took Flower, Falling Star begins to recite the words (lyrics) to Led Zepplin's "Stairway to Heaven" in Shoshone and Sheriff Joy finishes them, also in Shoshone.
In the second episode Maria says in the diner something to Rhett in Spanish which he doesn't understand. She actually says that she's not used to go on a date with "güeros" (blond/white guys) so he'd better try his best to impress her.
Josh Brolin's (Royal Abbott) real-life daughter, Eden Brolin is in a band with Lewis Pullman (Rhett Abbott). The band's called Atta Boy, with Eden being the lead singer and Lewis being the drummer.
One comparison that can be made between Outer Range and Yellowstone (2018) is how both shows cast Will Patton as an antagonist. Yellowstone cast him as a calculating ex-con who groomed his biological son Jamie Dutton to take on an adversarial stance against his adoptive father, John Dutton. Outer Range has him cast as the ailing patriarch of the Tillersons, a rival ranching family of the Abbott's.
Season 2 Episode 2 opens with a scene on the ranch with the Tetons in the background and Royal and Cecilia listening to a Cheyenne FM radio station. That is a pretty strong transmission carrying that radio signal 500 miles.