Snippet to add WooCommerce shipping Pro rates to UPS and USPS rates. WOOCOMMERCE TABLE RATE SHIPPING PRO PLUGIN - https://www.pluginhive.com/product/woocommerce-table-rate-shipping-pro-plugin/

functions.php

/**
 * Snippet to add WooCommerce shipping Pro rates to UPS and USPS rates.
 * Created at : 17 Sep 2018
 * Updated at : 17 Sep 2018
 * PluginHive Plugins : https://www.pluginhive.com/plugins/
 * Gist Link : https://gist.github.com/varun-pluginhive/9005d87294abf046243b3ef816185948
 */
if( ! function_exists('ph_add_shipping_pro_rate_to_up_or_usps_rates') ) {
	function ph_add_shipping_pro_rate_to_up_or_usps_rates( $shipping_rates ) {

		$add_to_method 		= array( "wf_shipping_ups", "wf_shipping_usps" );	//  Shipping method to which Shipping Pro rates need to be added
		$shipping_pro_rates = false;
		$ups_or_usps_rates	= false;
		$cost_to_add = null;
		foreach( $shipping_rates as $rate ) {
			$method_id = $rate->get_method_id();
			if( $method_id == "wf_woocommerce_shipping_pro" ) {
				$cost_to_add = (double) $rate->get_cost();
				$shipping_pro_rates = true;
			}
			elseif( in_array($method_id, $add_to_method ) )
				$ups_or_usps_rates = true;
		}

		if( $shipping_pro_rates && $ups_or_usps_rates ) {
			foreach( $shipping_rates as $key=>&$rate ) {
				$method_id = $rate->get_method_id();
				if( $method_id == "wf_woocommerce_shipping_pro" ) {
					unset($shipping_rates[$key]);
				}
				elseif( in_array($method_id, $add_to_method ) )
					$rate->set_cost( (double) $rate->get_cost() + $cost_to_add );
			}
		}
		return $shipping_rates;
	}
	add_filter( 'woocommerce_package_rates', 'ph_add_shipping_pro_rate_to_up_or_usps_rates' );
}