Dorectors liability

Question asked: if a company is dissolved on the ground of non filing returns subsequent to incorporation of company but some directors continue with illegal business and commited offence , are the criminial liability incurred on the dissolved company or by the directors/members?

I've always thought that the directors now become ( automatically) personally liable for any act done after the dissolve of company 

Anyone good on company law and have a legal reference/source for any answer?

Many thanks