Segment name and list name dimensions (Klaviyo)#841

Is it possible to add segment name and list name dimensions to build reports to see performance breakdown for these dimensions?

This is available. The Klaviyo connector exposes both List Name (id: list_name) and Segment Name (id: segment_name) under the members table (alongside List Id and Segment Id). Select those name fields to build a performance breakdown by list and segment.