GTK. Update programmatically recent-files submenu with GtkRecentChooserMenu

Question

I'm using GTK+3 and I would like to do a recent-files submenu which it could update programmatically, not just by the GUI user interaction (that is working). I've used GtkRecentChooserMenu.

I've made this for setting the submenu:

GtkWidget * recentChooser = gtk_recent_chooser_menu_new ();
gtk_menu_item_set_submenu (GTK_MENU_ITEM (win->menuItemRecent), recentChooser); //win->menuItemRecent is a GtkMenuItem
gtk_recent_chooser_menu_set_show_numbers (GTK_RECENT_CHOOSER_MENU (recentChooser), TRUE);
GtkRecentFilter *filter = gtk_recent_filter_new ();
gtk_recent_chooser_set_sort_type (GTK_RECENT_CHOOSER (recentChooser), GTK_RECENT_SORT_MRU);
gtk_recent_filter_add_pattern (filter, "*.tnt");
gtk_recent_filter_add_pattern (filter, "*.run");
gtk_recent_filter_add_pattern (filter, "*.tre");
gtk_recent_filter_add_pattern (filter, "*.dat");
gtk_recent_chooser_add_filter (GTK_RECENT_CHOOSER (recentChooser), filter);
g_signal_connect (G_OBJECT (recentChooser), "item-activated", G_CALLBACK (on_recentFile_activated), NULL);
gtk_recent_chooser_set_show_icons(GTK_RECENT_CHOOSER (recentChooser), FALSE);

As I said, all this is working. Now, for the programmatic submenu update, I've tried this:

submenu = gtk_menu_item_get_submenu (GTK_MENU_ITEM(win->menuItemRecent));
GtkRecentChooser * chooser = GTK_RECENT_CHOOSER(submenu);
GtkRecentManager * manager = GTK_RECENT_CHOOSER_GET_IFACE(chooser)->get_recent_manager (chooser);
gtk_recent_manager_add_item(manager, file); //file is a file name to add into submenu

But this isn't working. The gtk_recent_manager_add_item() seems add (because it returns TRUE) but the submenu doesn't update.

Thanks in advance.

Martín