If it is an automatic process does the process happen without the user pressing the button or do they have to trigger it?
Either way I would try to phrase it more around refreshing the table to represent the most accurate up to date information rather then say anything about re-arranging or re-sequencing. Unless it is significantly important for the users to know that items are being re-ordered a certain way I would try to frame it as: "Some data may be out of date, please refresh to view the most accurate information." (where "refresh" is a button or text link)
Of course if it is an automated process that doesn't require user intervention you could just just do it so that it is always up to date whenever they load the table (or I suppose give them the refresh menu if they keep the page open for a significant amount of time).