Why haven't you paid ?
OK. So you didn't pay council tax for that period?
Ok. But they say that wasn't due because you weren't entitled to benefits because you were receiving money not disclosed?
And come what may, you did not pay?
Yes, the finding of the criminal courts does not prevent recovery.
The civil courts use a different standard of proof and anyway recovery is quite common.
Further, if there is an order then there is an order.
Certainly it is right to say though that just because you were found not guilty of a dishonesty based offence doesn't mean they cannot recover money unlawfully paid.
The civil courts would not be considering dishonesty but just whether the money is due.
Can I clarify anything for you
All the best.