Product categories are not shown on all pages but Shop page

Hi,

Got a problem. Can’t find anything on this.
Product categories are not shown on all pages but Shop page.
I use following hook to show them:

add_action( 'sinch_pro_woocommerce_after_shop_loop_item_title_category_minicart', 'add_product_cart_sidebar_cat', 10);

function add_product_cart_sidebar_cat()
{
    global $product;
    $product_cats = wp_get_post_terms($product->id, 'product_cat');
    $count = count($product_cats);
    foreach($product_cats as $key => $cat)
    {echo '<p class="subtitle-category">'. $cat->name;
        if($key < ($count-1))
        {
            echo ', ';
        }
        else
        {
            echo '</p>';
        }}
};

For example:
on the page https://mariefreshcosmetics.com/ clicking Cart on the top of the page looks like
https://dl.dropboxusercontent.com/u/7241305/WooCommerce/1.PNG

by the https://mariefreshcosmetics.com/kontakty/ looks like
https://dl.dropboxusercontent.com/u/7241305/WooCommerce/2.jpg

No product catgories are shown.
Also I found that $product returns NULL. It is kind of not initialized outside WooCommerce templated or something like this.
So the question what I’m doing wrong? How to initialize and fill this variable?

Please, find more details below

Thankful for every and any help!

Site: mariefreshcosmetics.com

### WordPress Environment ###

Home URL: https://mariefreshcosmetics.com
Site URL: https://mariefreshcosmetics.com
WC Version: 2.6.8
Log Directory Writable: ?
WP Version: 4.6.1
WP Multisite: –
WP Memory Limit: 256 MB
WP Debug Mode: –
WP Cron: ?
Language: en_US

### Server Environment ###

Server Info: Apache
PHP Version: 5.6.26
PHP Post Max Size: 50 MB
PHP Time Limit: 30
PHP Max Input Vars: 2000
cURL Version: 7.19.7
NSS/3.21 Basic ECC

SUHOSIN Installed: –
MySQL Version: 5.6.27
Max Upload Size: 50 MB
Default Timezone is UTC: ?
fsockopen/cURL: ?
SoapClient: ?
DOMDocument: ?
GZip: ?
Multibyte String: ?
Remote Post: ?
Remote Get: ?

### Database ###

WC Database Version: 2.6.8
: 
woocommerce_sessions: ?
woocommerce_api_keys: ?
woocommerce_attribute_taxonomies: ?
woocommerce_downloadable_product_permissions: ?
woocommerce_order_items: ?
woocommerce_order_itemmeta: ?
woocommerce_tax_rates: ?
woocommerce_tax_rate_locations: ?
woocommerce_shipping_zones: ?
woocommerce_shipping_zone_locations: ?
woocommerce_shipping_zone_methods: ?
woocommerce_payment_tokens: ?
woocommerce_payment_tokenmeta: ?

### Active Plugins (30) ###

Polylang: by Frédéric Demarle – 2.0.9
Query Monitor: by John Blackbourn – 2.13.1
All In One WP Security: by Tips and Tricks HQ
Peter
Ruhul
Ivy – 4.2.1

Activity Log: by Yakir Sitbon
Maor Chasen
Ariel Klikstein – 2.3.4

Better WordPress Minify: by Khang Minh – 1.3.3
Capability Manager Enhanced: by Jordi Canals
Kevin Behrens – 1.5.7

cbnet Multi Author Comment Notification: by chipbennett – 3.2
Contact Form 7: by Takayuki Miyoshi – 4.5.1
Cyr to Lat enhanced: by Sol
Sergey Biryukov
Nikolay Karev
Dmitri Gogelia – 3.5

Debug Bar: by wordpressdotorg – 0.8.4
Duplicate Page: by mndpsingh287 – 2.1
Enhanced Media Library: by wpUXsolutions – 2.3.3
Google Analytics by MonsterInsights: by MonsterInsights – 5.5.4
WPBakery Visual Composer: by Michael M - WPBakery.com – 4.11.2.1
LEE Framework: by Derry Vu – 1.1
Loco Translate: by Tim Whitlock – 2.0.9
Ninja Forms: by The WP Ninjas – 3.0.15
P3 (Plugin Performance Profiler): by GoDaddy.com – 1.5.3.9
Regenerate Thumbnails: by Alex Mills (Viper007Bond) – 2.2.6
Slider Revolution: by ThemePunch – 5.2.6
Taxonomy Metadata: by mitcho (Michael Yoshitaka Erlewine)
sirzooro – 0.5

W3 Total Cache: by Frederick Townes – 0.9.5.1
WooCommerce Update Cart On Quantity Change: by Webnware – 1.0.0
WooCommerce: by WooThemes – 2.6.8
WooSidebars: by WooThemes – 1.4.3
Yoast SEO: by Team Yoast – 3.8
WP Instagram Widget: by Scott Evans – 1.9.8
YIKES Custom Product Tabs for WooCommerce: by YIKES Inc – 1.4.4
YITH WooCommerce Ajax Product Filter: by YITHEMES – 3.0.11
YITH WooCommerce Wishlist: by YITHEMES – 2.0.16

### Settings ###

Force SSL: ?
Currency: UAH (?)
Currency Position: left
Thousand Separator: 
Decimal Separator: ,
Number of Decimals: 2

### API ###

API Enabled: ?

### WC Pages ###

Shop Base: #7458 - /
Cart: #7454 - /korzina/
Checkout: #7452 - /oformit-zakaz/
My Account: #7442 - /lichniy-kabinet/

### Taxonomies ###

Product Types: external (external)
grouped (grouped)
simple (simple)
variable (variable)

### Theme ###

Name: SINCH.PRO
Version: 1.0
Author URL: https://sinch.pro
Child Theme: ?
Parent Theme Name: Alto Theme
Parent Theme Version: 1.0.3
Parent Theme Author URL: https://leetheme.com
WooCommerce Support: ?

### Templates ###

Overrides: altotheme/woocommerce/archive-product.php
altotheme/woocommerce/cart/cart-totals.php
altotheme/woocommerce/cart/cart.php
altotheme/woocommerce/cart/cross-sells.php
altotheme/woocommerce/checkout/form-checkout.php
SINCH.PRO/woocommerce/content-product.php
altotheme/woocommerce/content-product_cat.php
altotheme/woocommerce/content-single-product.php
altotheme/woocommerce/content-widget-product.php
SINCH.PRO/woocommerce/global/breadcrumb.php
altotheme/woocommerce/global/quantity-input.php
altotheme/woocommerce/global/wrapper-end.php
altotheme/woocommerce/global/wrapper-start.php
altotheme/woocommerce/loop/loop-end.php
altotheme/woocommerce/loop/loop-start.php
altotheme/woocommerce/loop/orderby.php
altotheme/woocommerce/loop/pagination.php
altotheme/woocommerce/loop/rating.php
altotheme/woocommerce/loop/sale-flash.php
altotheme/woocommerce/myaccount/form-login.php
altotheme/woocommerce/notices/error.php
altotheme/woocommerce/notices/success.php
SINCH.PRO/woocommerce/order/order-details-item.php
altotheme/woocommerce/single-product/add-to-cart/grouped.php
altotheme/woocommerce/single-product/add-to-cart/simple.php
SINCH.PRO/woocommerce/single-product/add-to-cart/variable.php
SINCH.PRO/woocommerce/single-product/price.php
altotheme/woocommerce/single-product/product-image.php
altotheme/woocommerce/single-product/product-thumbnails.php
altotheme/woocommerce/single-product/related.php
altotheme/woocommerce/single-product/review.php
altotheme/woocommerce/single-product/sale-flash.php
altotheme/woocommerce/single-product/share.php
altotheme/woocommerce/single-product/short-description.php
altotheme/woocommerce/single-product/tabs/additional-information.php
altotheme/woocommerce/single-product/tabs/description.php
altotheme/woocommerce/single-product/tabs/tabs.php
altotheme/woocommerce/single-product/title.php
altotheme/woocommerce/single-product-reviews.php
altotheme/woocommerce/single-product.php

Debug info

PHP Error	Count	Location	Call Stack	Component
Notice	Trying to get property of non-object	4	wp-content/themes/SINCH.PRO/functions.php:89	add_product_shop_cat()
 wp-content/themes/SINCH.PRO/functions.php:89
do_action('sinch_pro_woocommerce_after_shop_loop_item_title_category')
 wp-content/themes/altotheme/woocommerce/cart/cart.php:65
wc_get_template()
 wp-content/plugins/woocommerce/includes/shortcodes/class-wc-shortcode-cart.php:79
WC_Shortcode_Cart::output()
 Unknown location
WC_Shortcodes::shortcode_wrapper()
 wp-content/plugins/woocommerce/includes/class-wc-shortcodes.php:128
WC_Shortcodes::cart()
 Unknown location
do_shortcode_tag()
 Unknown location
preg_replace_callback()
 wp-includes/shortcodes.php:223
do_shortcode()
 Unknown location
apply_filters('the_content')
 wp-includes/post-template.php:240
the_content()
 wp-content/themes/SINCH.PRO/page-checkout.php:63	Plugin: woocommerce