Each Yaksha has just so many.
Just going off of Xiao you've got: Alatus, Golden Garuda (Jinpeng), Conqueror of Demons (Yanfei says it like a name) and of course Xiao.
Most of these names have nothing to do with each other. Xiao for example is a name Zhongli gave him after saving him from another Archon. Alatus is a yaksha name that people called him by. This is related to Golden Garuda because that's the same name but in Chinese. (Alatus means winged or something so that relates to being a Garuda)
The rest of them make even less sense across languages. Chinese yaksha names are Buddhist-ish and have nothing to do with their element. Bosacius for example has the Chinese name 浮舍 which is about giving up on a desire. That first word though has a water particle to it making it seem like it'd reference the Hydro Yaksha. (the word means float) Indarias (probably named that because it sounds a little like the Chinese) is 应达 which means attaining the thing you deserve.
But the English names did serve to help me get the wrong idea. See Indarias is not a real word but Indra is. It's Vedic Indian and a heroic god of war. See Murata. And now we learn that Bosacius is Vritras. Not a real name until you remove the s. And wouldn't you know it Vritra is the evil 4 armed demon (an asura) that Indra kills to save mankind.... LOCALIZATION TEAM!!!!
Kapisas as far as I can tell is an Indian name for a place in modern day Afghanistan that China used to know as the Kingdom of Kapisha or 漕国. What that has to do with the Hydro Yaksha is beyond me lol And I have no clue what Chizapus comes from.
Side Note: But based on Xiao we at least know that these Buddhist-like phrases are probably each yaksha's Constellation in Chinese. Meanwhile their English names would at least be part of their English Constellations. Alatus being Xiao's yaksha name is part of his Constellation Alatus Nemeseos.
On the other hand the Chinese names are much more indicative of who these guys are. (for the most part) Bosacius is 腾蛇 so that's an odd ball. It means leaping snake. As close as I can figure it might be a reference to the military tactic sometimes translated as "ascending snakes" which matches the fact that he was the leader and a good strategist. (also in some adaptations Vritra is a giant serpent. LOCALIZATION TEAM! 
)
Xiao's is the most obvious. It literally is Garuda a flying mythical creature. Menogias is called 螺卷 literally a snail roll lol. I guess because she's cute looking? It also fits with being a Hydro character. I mean snails are seafood. You guys already know Indarias is the Fire Rat and what I think it could mean.
Meanwhile Bonanus actually has a really cool name that really works well with his element. The name is 心猿. That second word is used in combination with human to mean neaderthal. It can also mean any number of primates like monkeys. The first word means heart but it can also reference determination. So now I'm going to talk about Journey to the West and one of its major and probably most popular characters in all of fiction: Sun Wukong the Monkey King. If you research into it the story of Journey to the West is about seeking enlightenment against all human vices. In terms of Sun Wukong that's the vice of heart aka being impulsive. He doesn't think before he acts which is a big part of the guy's character. (and also Itto's character) And why it fits so well with Bonanus the Geo Yaksha? Sun Wukong was born from rock. Sometimes he's considered a living stone monkey. I thought that was pretty cool.
But the internet seems to also have plenty of problems with all these names. The official wiki for example (this wouldn't be the first time) has incorrectly listed Menogias the female snail roll as the male Geo Yaksha and Bonanus the male Sun Wukong reference as the female Hydro Yaksha. lol (Seriously there's a note at the end of their own topic where they talk about male and female name endings with Bonanus being a male name and Menogias being a female. And then they go and claim Menogias is the Geo Yaksha. Maybe they think these guys are "non-binary" lol) It doesn't get any better if you look at Chinese social media though. I've seen this switcheroo on a few sites but the worst I've seen is claiming that Bonanus is actually the Fire Rat and Indarias is Sun Wukong and also that 应达 the Chinese yaksha name for Indarias is Bosacius the Electro Yaksha. LOL
This is why you don't give us like 4 different names per character MiHoYo! Sure it was a thing back in ye olden China but we in the modern day with the attention span of a drunk hermit crab can't keep all that stuff straight! 
And you guys remember my previous topic? It just occurred to me as I wrote this how it even relates to the stand-ins we got from the quest.
So Bosacius's desire was likely what caused each of the characters to participate in this quest. If we go off of how Itto is impulsive like Sun Wukong who is referenced by Bonanus the Geo Yaksha then:
-Kuki Shinobu is the brains behind the Arataki Gang. She has come up with plans to solve their problems. Bosacius is the leader of the yaksha and an expert strategist.
-Snail roll doesn't really say much but I suppose you could look at it like if a snail curled up into its shell then it'd be hidden away from the world. Yelan's whole deal is she's the cleaner for the Qixing. Stuff she takes care of doesn't see the light of day. Maybe Menogias had that role too. Would make me think she'd be more prone to becoming that evil yaksha though.
-Yanfei casts a protection spell on Kuki and Itto after Itto collapses. Fire Rats offer protection against fire right? Well in Chinese lore there's another version of fire rat that's white but it also offers protection against weapons. And in Inuyasha I've seen sources say the robe of the fire rat also protects Inuyasha from human weapons. This does not lend itself well to Indarias going darkside. But again Yanfei's presence in the quest might have been a manipulation by Zhongli so it could be the idea that Indarias was actually helpless and Yanfei offered a better ending to their story.
And of course Xiao represents himself and we represent Morax.
-deep breath- So anyway which batch of names do you like best? 
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