Open the FCOIS settings menu by typing /fcoiss into the chat box and press enter, or press ESC and navigate to the settings -> addons page -> FCO ItemSaver

-Scroll to the top.
-Colors & icons
--->Normal icons
------>Scroll down below the submenus for the marker icons in the normal section (lock, research, selling, deconstruction, improvement, sell at guild store, intricate)
You'll find a checkbox for each icon to turn the icon off/on here.
e.g.: Turn intricate off if you do not need it

The ornate is only marked automatically with the sell icon.
If you do not need the sell icon turn it off too.

Automatic marking of items
Otherwise start from the top and go to:
Marks
--->Automatic marking
----->Ornate
e.g.: Mark ornate items OFF

Just below is the Intricate

The marker icons for intricate should be disappearing by disabling the marker icon in the settings.
The marker icons for ornate won't be set new if you disable the automatic marking.
But the already applied icons won't disappear. You'd need to select them (use the filter button to only show the SELL icon and addons like Advanced Filters to filter only the needed items) and mass-demark them via the flag icon at the top left corner of your inventory.

See FAQ "Additional inventory 'flag' context menu buttons"

Automatic markings
Please read the description texts at the Automatic markings submenus and especially the tooltips at each of the possible options there. They explain what other addons are needed, what their settings need to be, etc.

You currently cannot can change the order of the automatic markings. They are fixed and explained in the description text right at the Automatic markings submenu.

But you are able to define which bags of your inventories should be checked for the autoamtic markings, e.g. the player inventory, the bank, the guild bank, the house bank. Disable the ones you do not wish to apply any automatic markings to and order them so that they will be checked in your desired order (e.g. bank first, then guild bank, then your inventory).