Din Djarin's (Pedro Pascal) fifty-year old adopted infant son is officially called "The Child" in Disney+ docies Disney Gallery: The Mandalorian dives into the creative process of bringing the adorable tyke to life, starting with the description of him on the page: "A baby. The same race as Yoda."
Showrunners Jon Favreau and Dave Filoni, along with everyone else involved in The Mandalorian, have been careful to avoid referring to the Child as "Baby Yoda." However, with season 1 wrapped up the show still has yet to give him any other name, so Yaddle), The Mandalorian has an opportunity to reveal more about Yoda's people and where he comes from. Until that happens, though, the Child is stuck in a strange limbo name-wise.
Episode 5 of Disney Gallery: The Mandalorian focuses on the show's practical effects and the making of Baby Yoda. Among the behind-the-scenes materials shown is a script page for The Mandalorian episode 1, "Chapter 1: The Mandalorian." The scene in which the Mandalorian and fellow bounty hunter IG-11 discover that their target is actually just a baby name-drops Yoda in the very first description of The Child.
Even though season 2 has wrapped).
The Mandalorian season 1 ended with Din Djarin and Baby Yoda forming a new clan of two, and venturing off into space to try and find Baby Yoda's people. It's unlikely that the baby will get an official name any time soon, as Din doesn't have much interest in names; his own was kept so secret that almost no one knew it, and it wasn't revealed until the final episode of the season.
Baby Yoda is still mostly an enigma. We know that both Herzog's mysterious Client and Imperial remnant Moff Gideon (Giancarlo Esposito) want to get their hands on him, and that despite his young(?) age he already has tremendous command of the Force (though it tires him out to use it). But as the Mandalorian searches for answers in season 2, we may finally get a proper name to go with that adorable face.