TWO MIC AUDIO PROBLEM

Also, of interest perhaps, Version 2 is now available. It's much faster and sigificantly improved.

It also helps with mic bleed. Worth a try perhaps?
https://podcast.adobe.com/Enhance

No, there isn't a processing option for that, because nobody has figured out any sensible way to identify what needs to be isolated. You might find that you can reduce the effect of it by passing each track through Adobe's online Enhance Speech tool, which uses AI to try to optimise what you've got, but how well that will work depends a lot on the level of the interfering signal. It's here - Enhance Speech . That said, if you have two people sitting close enough with omni mics on them, crosstalk is absolutely inevitable unless you put screens between them - so they can't hear each other...

Also, what doesn't help with the Hollyland Lark is the latency that's unfortunately a part of the system, (see the reviews) and that's probably the delay you are experiencing. There's a pretty fair evaluation of the sytem here on Youtube.