You can display post grid on archive pages by integrated with theme php file with category.php, tag.php and custom taxonomy php files,

you need to create post grid first and copy the php shortcode and replace the loop inside category.php or tag.php or custom taxonomy php file on your themes.

here for example we use Twenty Twelve themes category.php file ,  replace the loop by shortcode.

 

post-grid-theme-category-php

Please got o post grid settings and under Query Post set the option

Ignore archive query => No

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