Version drupal 10

There are issues with pagination and design issues about some admin themes like GIN when using "Entity reference modal".
https://www.drupal.org/project/entity_reference_modal/issues/3444195 🐛 Search modal design collapsed [Claro and Gin] Closed: works as designed

That's why I prefer to continue with "Entity Reference Modal Create"
Entity Reference Modal Create D10 Patch :
https://www.drupal.org/project/entityreference_modal_create/issues/3287341 📌 Automated Drupal 10 compatibility fixes RTBC

so strange, i think you are confused or you have not used the module yet. you cited an issue related to the functionality search with entity reference view (if you enable) and do not select the option "use bootstrap cdn", if enabled it will display normally. Meanwhile the main function of this module creates a modal to create a new entity.