If you need to display checklists and their progress from your Jira issues on Confluence, it's possible to do so by means of adding "Checklists" and "Smart Checklist Progress" fields to your Jira issues and mapping those fields in Confluence. The detailed steps are as follows:

1. Add Jira macros to your Confluence page
2. Link the needed Jira Issue
3. In Display options setting, select Table
4. In Columns to display, add Checklists and Smart Checklist Progress fields
5. Hit "Insert"
6. Publish

Here's what you get on Confluence page as the outcome:

The same checklist on Jira Issue view:

Below is a step-by-step video screencast: