Thanks for reaching out.
You need to use the Query String options instead of the Query Builder. In the Query String option you can pass the Dynamic Content using the Dynamic Content tag.
You can get a few examples of the Query String in the following thread.
I would also suggest you go through the following article on Query String.
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I checked your given page URL but I can not able to find any Looper setup and Query string. Please share the exact page URL and it would be best if you could share a screenshot as well so that we can check it at our end.
The query string post_type=question&posts_per_page=4&post_status=publish&ignore_sticky_posts=1&orderby=date&order=asc&author={{dc:user:id}} is correct and it is working. Just make sure that the current logged in user has created a post.
The custom post tyope slug is dwqa-question. Your query string should be: post_type=dwqa-question&posts_per_page=4&post_status=publish&ignore_sticky_posts=1&orderby=date&order=asc&author={{dc:user:id}}
Using two different query strings, I am getting this result: