Woocommerce custom add to cart icon on header

Clicking on 2 items  in this example takes the visitor to Cart page, http://example.com/cart/

Add bellow code in theme functions.php

<?php
	//* Make Font Awesome available
	add_action( 'wp_enqueue_scripts', 'enqueue_font_awesome' );
	function enqueue_font_awesome() {
	wp_enqueue_style( 'font-awesome', '//maxcdn.bootstrapcdn.com/font-awesome/4.2.0/css/font-awesome.min.css' );
	}

	
	
	/**
	* Place a cart icon with number of items and total cost in the menu bar.
	*
	* Source: http://wordpress.org/plugins/woocommerce-menu-bar-cart/
	*/
	add_filter('wp_nav_menu_items','sk_wcmenucart', 10, 2);
	function sk_wcmenucart($menu, $args) {

	
	
	// Check if WooCommerce is active and add a new item to a menu assigned to Primary Navigation Menu location
	if ( !in_array( 'woocommerce/woocommerce.php', apply_filters( 'active_plugins', get_option( 'active_plugins' ) ) ) || 'primary' !== $args->theme_location )
	return $menu;

	
	ob_start();
	global $woocommerce;
	$viewing_cart = __('View your shopping cart', 'your-theme-slug');
	$start_shopping = __('Start shopping', 'your-theme-slug');
	$cart_url = $woocommerce->cart->get_cart_url();
	$shop_page_url = get_permalink( woocommerce_get_page_id( 'shop' ) );
	$cart_contents_count = $woocommerce->cart->cart_contents_count;
	$cart_contents = sprintf(_n('%d item', '%d items', $cart_contents_count, 'your-theme-slug'), $cart_contents_count);
	$cart_total = $woocommerce->cart->get_cart_total();
	// Uncomment the line below to hide nav menu cart item when there are no items in the cart
	// if ( $cart_contents_count > 0 ) {
	if ($cart_contents_count == 0) {
	$menu_item = '<li class="right"><a class="wcmenucart-contents" href="'. $shop_page_url .'" title="'. $start_shopping .'">';
	} else {
	$menu_item = '<li class="right"><a class="wcmenucart-contents" href="'. $cart_url .'" title="'. $viewing_cart .'">';
	}
	$menu_item .= '<i class="fa fa-shopping-cart"></i> ';
	$menu_item .= $cart_contents.' - '. $cart_total;
	$menu_item .= '</a></li>';
	// Uncomment the line below to hide nav menu cart item when there are no items in the cart
	// }
	echo $menu_item;
	$social = ob_get_clean();
	return $menu . $social;
	}

Here is code using woocommerce shortcode

add_action('admin_init', 'mytheme_add_init');
	add_action('admin_menu', 'mytheme_add_admin');
	add_shortcode('cartitem','sk_wcmenucart');

	
	
	
	function sk_wcmenucart() {
	// Check if WooCommerce is active and add a new item to a menu assigned to Primary Navigation Menu location
	if ( !in_array( 'woocommerce/woocommerce.php', apply_filters( 'active_plugins', get_option( 'active_plugins' ) ) ) )
	//return $menu;
	ob_start();
	global $woocommerce;
	$viewing_cart = __('View your shopping cart', 'your-theme-slug');
	$start_shopping = __('Start shopping', 'your-theme-slug');
	$cart_url = $woocommerce->cart->get_cart_url();
	$shop_page_url = get_permalink( woocommerce_get_page_id( 'shop' ) );
	$cart_contents_count = $woocommerce->cart->cart_contents_count;
	$cart_contents = sprintf(_n('%d item', '%d items', $cart_contents_count, 'your-theme-slug'), $cart_contents_count);
	$cart_total = $woocommerce->cart->get_cart_total();
	// Uncomment the line below to hide nav menu cart item when there are no items in the cart
	// if ( $cart_contents_count > 0 ) {
	if ($cart_contents_count == 0) {
	$menu_item = '<span><a class="wcmenucart-contents cartitemsh" href="'. $shop_page_url .'" title="'. $start_shopping .'">';
	} else {
	$menu_item = '<span><a class="wcmenucart-contents cartitemsh" href="'. $cart_url .'" title="'. $viewing_cart .'"> ';
	}
	$menu_item .= '<i class="fa fa-shopping-cart cartitemsh"></i> ';
	$menu_item .= $cart_contents.' - '. $cart_total;
	$menu_item .= '</a></span>';
	// Uncomment the line below to hide nav menu cart item when there are no items in the cart
	// }
	//echo $menu_item;
	$social = ob_get_clean();
	return $menu_item . $social;
	//return 'mtt';
	}

How to use custom woocommerce add to cart icon-

shortcode in any where in wordpress pages and post

Cart icon display using this woocommerce custom shortcode: [cartitem]

Now call scord code in template as per you want to display :

<?php echo do_shortcode(‘[cartitem]’);?>