Smogaroben references the website Smogon, which is used for competitive Pokémon battling and discussion alongside the CAP project. Its face appears to be inspired by Scizor's claws, in reference to the Pokémon's use in the metagame. Its parrot-like appearance and Poison type reference common insults used to describe Smogon players and its body appears to resemble that of Fletchling's. The Pokémon whose final evolution (Talonflame) in Gen 6 was notorious for Brave Bird and Gale Wings at the time; the ability Gale Wings later got nerfed in SM and Talonflame is no longer a Smogonbird.
Their habit of crying for days upon losing (specifically, "If it loses, it will cry for days.") is based on Smogon people not accepting their defeats. Its species being the PU Pokémon is an obvious reference to Smogon's PU tier, the absolute lowest tier that was named as such specifically to basically highlight that any Pokemon in it stinks.