Then I'd say pry those two boards out. Take them to your local lumber supplier and pickup some new stock that is the correct dimension. Some places carry pre-primed lumber to save some labor. Use the existing pieces as a template to cut your new stock to shape. Scrape or sand the fascia that is solid. Prime and paint it all. Don't forget to use some outdoor rated fasteners that won't rust.

Which species of wood to use is a whole topic in itself, but the more expensive options are naturally rot resistant like cedar and redwood. I think cypress? is native to your area so that may be what they stock locally.

With regular paint maintenance though most species will hold up well.