Unfortunately, Linux and Windows handle device identification differently. Likewise, audio device configuration is stored in the Scene Collection, which will be incompatible due to the differing directory layout schemas.
That said, they're both stored in .json files and as-far-as-I-know use the same structure inside that, so it probably shouldn't be too difficult to diff a baseline config pair and then write a quick script to copy+convert your Windows config file into a Linux side version using sed, dropping it into the target config directory at the same time.
Could add it to your startup scripts, and another to your shutdown if you trust doing the same thing back the other way (and aren't worried about writing to NTFS) so they stay 'synced' on boot.
Most people will just take some screenshots though and duplicate it all by hand.