First, other sites (not controlled by you) that cache your site are effectively past snapshots of what you had been doing. If the trademark holder has asked you to stop, then as long as the sites that still copy your use of the logos aren’t controlled by you, there is the argument that you have stopped. That doesn’t change what was done in the past, but it does reflect what you are (or are not) doing in the present.

On the other hand, if your webmaster is still doing something, then your webmaster might be considered your agent. Under vicarious liability principles, the actions of your agent could be imputed to you. Now, if the sites that you are redirecting to are doing nothing wrong, it stands to reason that there is nothing wrong in redirecting to them. However, if the sites that you are redirecting to are themselves infringing, an argument could be made that the redirection is continuing to contribute to that infringement.

As with any legal question that concerns your rights and liabilities, it is always a good idea to consult with a licensed attorney who is knowledgeable in the particular area of law, such as trademark law or internet law.

Sorry I couldn’t provide a more concrete answer. Best of luck to you!