Someone can be using the term “Megan’s Offense” in two different contexts. The first scenario for its use is in the context of someone who is facing a sex crime that falls under Megan’s Law; they have a Megan’s Offense when this has occurred.
The second way that someone uses this term is when they are referring to a failure to register, failure to re-verify an address, or report a change in address as required by Megan’s Law; when they have been charged with one of these three violations, they are often said to be facing a Megan’s Offense.