This concept has got to do with the availability (or unavailability) of rights of a recognized (or unrecognized state) under the municipal/domestic laws of the recognizing (or unrecognizing) state.
The unrecognized state or government cannot claim immunity from the jurisdiction, obtain recognition for purposes of conflict of laws of its legislative and judicial acts, or sue in the local courts.
It is normally the executive of a state involved in recognition of another state and judiciary follows the verdict (be it de facto or de jure recognition).
Thereafter, you can quote the procedures of the local courts of UK and USA etc.

This topic is covered in the books by Malcolm Shaw and Brownlie.

I hope it helps.