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:
Add Jira macros to your Confluence page
Link the needed Jira Issue
In Display options setting, select Table
In Columns to display, add Checklists and Smart Checklist Progress fields
Hit "Insert"
Publish
Here's what you get on the Confluence page as the outcome:
The same checklist on Jira Issue view:
Below is a step-by-step video screencast:
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