To export checklists values from your Jira Issues to a CSV file - first, you need to properly set-up "Checklists" custom field on your Jira instance. Follow Administrator Instructions carefully to do so.
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3. In the exported file, you'll get the field Custom field (Checklists) where the checklists content will be added
Server Instances 
- Go to Issues → View all issues and filters from your project
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2. Apply the filters if needed and click on Export → CSV (All fields) or CSV (Current fields). Make sure. the "Checklists" custom field is selected.
3. In the exported file, you'll have "Checklists" custom field where the checklists content will be added
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