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Every time I want the markup of the posts match the design of my themes, os I need a different markup than the one Display Posts provides I use Partials to do it.

Have a look in the Link bellow.

https://displayposts.com/2019/01/04/use-template-parts-to-match-your-themes-styling/

I hope I helped you!

You can also use the output filter to customize what is displayed by the plugin. See: https://displayposts.com/docs/the-output-filter/