[PHP/WordPress/WooCommerce] Display category description on pagination

functions.php

<?php

// the `woocommerce_taxonomy_archive_description` and the `woocommerce_product_archive_description` functions do not display the category's description on pagination
// this code removes them from WooCommerce and rewrites them to show the description also on new pages

// Before: page 1 (https://d.pr/i/E2iHoD) & page 2 (https://d.pr/i/RiiCOy)
// After: page 1 (https://d.pr/i/E2iHoD) & page 2 (https://d.pr/i/DyGEVQ)
remove_action( 'woocommerce_archive_description', 'woocommerce_taxonomy_archive_description', 10 );
remove_action( 'woocommerce_archive_description', 'woocommerce_product_archive_description', 10 );

add_action( 'woocommerce_archive_description', function () {
	if ( is_product_taxonomy() ) {
		$term = get_queried_object();

		if ( $term && ! empty( $term->description ) ) {
			// phpcs:ignore WordPress.Security.EscapeOutput.OutputNotEscaped
			echo '<div class="term-description">' . wc_format_content( $term->description ) . '</div>';
		}
	}
} );

add_action( 'woocommerce_archive_description', function () {
	// Don't display the description on search results page.
	if ( is_search() ) {
		return;
	}

	if ( is_post_type_archive( 'product' ) ) {
		$shop_page = get_post( wc_get_page_id( 'shop' ) );
		if ( $shop_page ) {
			$description = wc_format_content( $shop_page->post_content );
			if ( $description ) {
				// phpcs:ignore WordPress.Security.EscapeOutput.OutputNotEscaped
				echo '<div class="page-description">' . $description . '</div>';
			}
		}
	}
} );

Description

Before:
On page 1 the description is present:

But on page 2 it isn't:

After:
On page 1 the description is present:

And it is also present on page 2:

How to use it

Use WordPress' guidelines to alter your theme's functions or write a new plugin.
As an alternative, just go to your theme's functions.php file and add these lines (without the initial <?php tag)