I want to be able to extract Klaviyo List with it members.

This is available today in the Klaviyo connector. Query the members table selecting List Name (id: list_name) and List Id (id: list_id) together with the member profile fields such as Email address (id: email), First Name (id: firstname), Last Name (id: lastname) and ID (id: id), plus optional details like Phone, City and Country. Each returned row is a list member with its list attached, so you get each list along with its members and their details in one query. One tip: members are included based on when they joined the list, so set your date range wide enough to capture everyone you need.
