Rules:
EoS Yusuke
Current versions of all characters unless stated
Win by any means bar BFR
Morals on, no prep
Gauntlet:
PTS Monkey D. Luffy
Sage Mode Naruto Uzumaki
FKT Ichigo Kurosaki
Unlimited G4 Monkey D. Luffy
Natsu Dragneel
AM Meliodas
Dangai Ichigo
Tsunayoshi Sawada
BM Naruto
EoS Ichigo
Bonus Round: Hiei & Yomi join Yusuke
Ugh, the YYH powerscaling is pretty convoluted IMO.
First, Yusuke has no quantifiable speed feats (at least that I know of). This doesn't mean he doesn't have the feats, no, he blitzed a bunch of A-low S class demons. . . but the thing is that those demons have no speeds feats. One of the only quantifiable speed feats I remember is 100% Toguro's Finger Bullets, which IIRC was calced at around supersonic/hypersonic. That's a B rank demon (I think a high B rank, but I don't remember exactly), so by powerscaling EoS Yusuke should be in the MHS range. But again, I don't remember any quantifiable speed feats.
In terms of DC/AP/dura, Yusuke stands way better, as a low-S class, his Finger Gun managed to bust a mountain, and at EoS, Yusuke one-shotted a bunch of A/low-S class demons, so he should be around multi-mountain/island lvl.
Now, to the gauntlet:
PTS Monkey D. Luffy - Based on what I've wrote above, I'm not sure if Yusuke has the speed to keep up with Luffy and CoO won't help Yusuke catch Luffy. Yusuke does have a big AP advantage, so if he managed to catch Luffy with one Finger Gun then Luffy is toast.
Sage Mode Naruto Uzumaki - Much easier than the first rund (unless this is War Arc SM Naruto), where Yusuke should have comparable to way superior speed and especially AP.
FKT Ichigo Kurosaki - This is the same case as in the Luffy round, Yusuke lacks the speed to keep up with Ichigo but he has an AP advantage. Ichigo here can also use his speed to wear Yusuke down, especially as he's easily equal to him in stamina, if not way above Yusuke.
Unlimited G4 Monkey D. Luffy - Yeah, this is basically the first round but now Luffy can do some serious damage to Yusuke, so he stops here.
I won't comment on the other rounds, as Yusuke won't be able to put much of a fight against most of them.