Code Snippet to rearrange shipping methods in cart page. Multi-Carrier Shipping Plugin for WooCommerce: https://www.pluginhive.com/product/multiple-carrier-shipping-plugin-woocommerce/

functions.php

/**
 * Snippet to rearrange shipping methods in cart page
 * Created at : 18 July 2019
 * PluginHive Plugins : https://www.pluginhive.com/plugins/
 * Gist Link : https://gist.github.com/PluginHive/ccc1f3e0251f9056dc911e06edd30c92
**/

add_filter('woocommerce_package_rates', 'ph_sort_shipping_methods', 10, 2);

function ph_sort_shipping_methods($available_shipping_methods, $package)
{
	// Arrange shipping methods as per your requirement
	$sort_order	= array(
		'usps_G3' 			=>	array(),	// Multicarrier Shipping Value Afetr ":" 
		'fedex_G2' 			=>	array(),
		'flatrate_G5' 		=>	array(),
		'stamps_usps_G4' 	=>	array(),
		'ups_G1' 			=>	array(),
				
	);
	
	// unsetting all methods that needs to be sorted
	foreach($available_shipping_methods as $carrier_id => $carrier){

		$carrier_array	= explode(":",$carrier_id);
		$carrier_code 	= isset($carrier_array[1]) ? $carrier_array[1] : "";

		if( !empty($carrier_code) && array_key_exists($carrier_code,$sort_order) )
		{
			$sort_order[$carrier_code][$carrier_id]	=		$available_shipping_methods[$carrier_id];
			unset($available_shipping_methods[$carrier_id]);
		}
	}
	
	// adding methods again according to sort order array
	foreach($sort_order as $carriers){
		$available_shipping_methods	=	array_merge($available_shipping_methods,$carriers);
	}
	return $available_shipping_methods;
}