Liquidità and esigibilità basically mean the same thing - it's when the debtor or creditor gets their money back. Receivables and payables are normally divided into short term, meaning due in less than one year, and long term, due in more than one year.

See some of the examples here:
http://context.reverso.net/translation/italian-english/esigi...

You can ignore "criterio di" in your translation and just say "reclassified by liquidity/due date".

It's a criterio, so a test or benchmark and - de novo - cannot simply be left out 'when in doubt'.

Though one term at a time, I'm unsure criterio di liquidità / esigibilità as a 'quick ratio / acid test/ can be split.

Perchance our ProZ accountants can expand on their comments.