This will display the category name or taxonomy name for a custom post type (probably regular posts too)
https://codex.wordpress.org/Function_Reference/get_the_terms
<?php
//DISPLAY FOR MAIN CATEGORY
$terms = get_the_terms( $post->ID , 'category' );
foreach ( $terms as $term ) {
echo $term->name;
}
?>
<?php
//DISPLAY FOR MANUFACTURER CUSTOM TAXONOMY
$terms = get_the_terms( $post->ID , 'manufacturer' );
foreach ( $terms as $term ) {
echo $term->name;
}
?>