In global search does not appear Position name changes

Hi Everyone!

I made a correction to a name of the position on which the employee is assigned. The change appears in Employment Info, but it does not appear when I search for the person in the Global search bar or in the action search bar.
How can I resolve this?

we have modified the position's name, but the businss title (assignment name) doesn't change, as you can see from the last attachment.

Can you help me?

Best regards,
Mario