Sharing here some possible interaction improvements I've detected after exploring Search design improvements in T382574:

• When opening the Search modal, it could show a list with the recent changes
  
• If possible, we could show only one result per component page (e.g. “Button”) to prevent repeating sections with matching text from that page (e.g. “Button > Examples > Button sizes”).
• If possible, we could include the results in the list only when they exactly match the typed text. For instance, typing "button group" should not show unrelated results like "Group of links" or "Radio group"
  

To organize the search results, I propose the following order:

1. Exact page match: Display first the results where the typed text matches the title of a page exactly.
2. Page's section match: Next, include results where the text matches a section title within a page.
3. Paragraph in a section match: Finally, show results where the text matches words within a paragraph of a page section.
   

Additionally, I recommend organizing the results based on the main navigation structure, prioritizing pages in this order of importance:

1. Components
2. Design Tokens
3. Icons
4. Composables
5. Style Guide
6. Contributing
7. Using Codex

Note: Within each category, results will be sorted alphabetically.