Broken style layout

Hello there,
we hope you’re doing well!

Could you share the link to your site if you have the plugin active?

Anyway, try adding the following code to your active child theme’s functions.php file and see if the display issue is resolved please:

if ( defined( 'YITH_WCWL' ) ) {
	if( ! function_exists( 'yith_wcwl_enqueue_back_required_assets' ) ) {
		function yith_wcwl_enqueue_back_required_assets() {
            $suffix  = defined( 'SCRIPT_DEBUG' ) && SCRIPT_DEBUG ? '' : '.min';
			$version = defined( 'WC_VERSION' ) ? WC_VERSION : '';

			wp_enqueue_style( 'woocommerce_prettyPhoto_css', plugins_url( 'assets/css/prettyPhoto.css', WC_PLUGIN_FILE ), array(), $version );
			wp_enqueue_script( 'prettyPhoto', plugins_url( 'assets/js/prettyPhoto/jquery.prettyPhoto' . $suffix . '.js', WC_PLUGIN_FILE ), array( 'jquery' ), '3.1.6' );
			wp_enqueue_script( 'prettyPhoto-init', plugins_url( 'assets/js/prettyPhoto/jquery.prettyPhoto.init' . $suffix . '.js', WC_PLUGIN_FILE ), array( 'jquery' ), $version );
			if ( ! wp_script_is( 'jquery-yith-wcwl-user', 'registered' ) ) {
				wp_enqueue_script( 'jquery-yith-wcwl' );
			} else {
				wp_enqueue_script( 'jquery-yith-wcwl-user' );
			}

			wp_enqueue_style( 'yith-wcwl-main', YITH_WCWL_URL . 'assets/css/style.css', array( 'jquery-selectBox' ) );
		}
    	add_action( 'wp_enqueue_scripts', 'yith_wcwl_enqueue_back_required_assets', 9999 );
	}
    if ( ! function_exists( 'ywfav_add_fontawesome' ) ) {
		function ywfav_add_fontawesome() {
        	wp_enqueue_style( 'fontawsome', 'https://stackpath.bootstrapcdn.com/font-awesome/4.7.0/css/font-awesome.min.css' );
    	}	
		add_action( 'wp_enqueue_scripts', 'ywfav_add_fontawesome', 99 );	
	}
}

Let us know any news.

Best regards.