At present the FIR ID's aren't displayed (or I can't find 'em!) and one has to look elsewhere.
eg Flying Calais to Koblenz one crosses from France into the Belgian FIR (EBBU) thence into the German(Langen) FIR (EDGG) and the reversed route to show change in FIR entries (in this case Germany(Langen) (EDGG) - Belgian (EBBU) - France (Paris) (LFFF).
Is it even possible?
Also, its worth turning on Airways Reporting Points, as these are often on FIR boundaries. In your example IBESA is almost on track but nothing worthwhile on French border.
David