Hm, this is actually a fair fight. Starfire can drain Kryptonians nowadays, and Donna's gotten pretty strong. Bombshell's nervous system blasts are pretty dangerous too.
I'd still probably bet the duo, but the quartet can get a few wins.
The proper strategy is have three of them, including Starfire, go after Superman. Drained by Kori he should be beaten. Meanwhile, one of them, probably Donna since she's the strongest and likely the old one who can, holds off Thor for a bit until she loses. Then the other three all jump Thor and try and get Bombshell some clear shots at his back.
It will be a good bit more difficult and for Kori to drain Clark than some cannon fodder Kryptonians. Besides, Thor can amp Superman with a hell of a lot more energy than Kori can drain.
Donna Troy won't last more than a few moments against Thor.
Even if Superman goes down, Thor will still take it.
Well, Donna's as the lasso of persuasion can only work if she can out-will them, which I don't think she can manage. Still a weapon, but won't be decisive.
Cassie's... it was used for bfr on a godling once, and I'm not sure precisely what else it does. If it had the old lightning feature that'd definitely be helpful, get it around a weakened Superman and shock him a couple times for a KO would be good. I don't know if the current form could bfr a non-magic type like Superman, though... hm, Thor's a god too, so maybe... but we're sorta lacking in info.
It's a great weapon against most targets, but not against the very strong willed.
She put it around a son of Ares and Poof, banished him somewhere else or something like that! So if the teleportation/banishment feature works on gods, then maybe it will. But it's kinda unclear what it's conditions for working are.