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get-the-date-filter.php

<?php

function et_last_modified_date_blog( $the_date, $format ) {
	if ( 'post' === get_post_type() && 'U' !== $format ) { // Make sure the Unix timestamp is not being requested.
		$the_time = get_post_time( 'His' );
		$the_modified = get_post_modified_time( 'His' );

		$last_modified =  sprintf( __( 'Last updated %s', 'Divi' ), esc_html( get_post_modified_time( 'M j, Y' ) ) );

		$published =  sprintf( __( 'Published on %s', 'Divi' ), esc_html( get_post_time( 'M j, Y' ) ) );

		$the_date = $the_modified !== $the_time ? $last_modified . ' | ' .  $published : $published;
	}
	return $the_date; // A filter must always return a value.
}

add_filter( 'get_the_date', 'et_last_modified_date_blog', 10, 2 );
add_filter( 'get_the_time', 'et_last_modified_date_blog', 10, 2 );