You can access recent exports and downloads on the Downloads tab of your Account Page.
Access the Downloads tab by navigating to the Account dropdown > Accounts > Downloads.
The Downloads tab includes a list of exports and downloads from your account within the last 30 days. The list is paginated and shows 10 results per page. Click the Download button to the right of any export to redownload an item.
Only Klaviyo users with the Owner or Admin role have the ability to export lists or segments.