Example of a function to remove post category from the home page.
function exclude_category_home( $query ) {
if ( $query->is_home ) {
$query->set( 'cat', '-5, -34' );
}
return $query;
}
add_filter( 'pre_get_posts', 'exclude_category_home' );
Replace the category ID with the one you want to exclude. Add to functions.php of your child theme.