This works for me (of course, I still have to code the details, but I do find " xxxx" in a site search after I have executed the site crawler from the scheduler)

    public class LidBesonderhedeController : ModuleSearchBase
    {
        #region ModuleSearchBase

        public override IList GetModifiedSearchDocuments(ModuleInfo modInfo, DateTime beginDate)
        {
            var searchDocuments = new List();
             //I think I should start my loop here to go through all the members data (my control gets a id parameter to show specific data)
            var searchDoc = new SearchDocument
            {
                UniqueKey = "xxxx",
                PortalId = modInfo.PortalID,
                Title = modInfo.ModuleTitle,
                Description = "xxxxxxxx",
                Body = "xxxxxxxxxxxxxxxx",
                ModifiedTimeUtc = DateTime.Today.ToUniversalTime()
            };
            searchDocuments.Add(searchDoc);
   // close the loop here
            return searchDocuments;
        }
        #endregion
    }

1. My records has a LastModifiedOn date field, so I will use that at  ModifiedTimeUtc
2. I'm still not sure how to get just the last modified > than statement. (I do not want to process all records all the time) (How to know when it was last crawled vs the records lastmodifieddate)
3. and URL (not shown above). In the pre 7.1 I could just make the GUID id={0} and pass it in, now I'm not sure...do I have to build the whole URL?

A) Have to add a dedicated class for this (could not use it inside the PortalBase as before
B) Had to modify my DesktopModules, add a BusinessControllerClass and SupportedFeatures=2