If you want to redirect link with query string parameters using Magento ResultFactory, then you can use below script.

You can make a link with a query string using  MagentoFrameworkUrlInterface;

Here I have used that in the controller file.

<?php
namespace VendernameModulenameControllerIndex;
use MagentoFrameworkControllerResultFactory;
use MagentoFrameworkAppActionAction;
use MagentoFrameworkAppActionContext;
use MagentoFrameworkAppRequestDataPersistorInterface;
use MagentoFrameworkViewElementMessages;
use MagentoFrameworkDataObject;
use MagentoFrameworkUrlInterface;

class Post extends Action
{


protected $_inlineTranslation;
protected $_transportBuilder;
protected $_scopeConfig;
protected $_logLoggerInterface;
protected $urlBuilder;
protected $_attributeRepository;

public function __construct(
MagentoFrameworkAppActionContext $context,
MagentoFrameworkTranslateInlineStateInterface $inlineTranslation,
MagentoFrameworkMailTemplateTransportBuilder $transportBuilder,
MagentoFrameworkAppConfigScopeConfigInterface $scopeConfig,
PsrLogLoggerInterface $loggerInterface,
UrlInterface $urlBuilder,
MagentoCatalogModelProductAttributeRepository $AttributeRepository,
array $data = []

)
{
$this->_inlineTranslation = $inlineTranslation;
$this->_transportBuilder = $transportBuilder;
$this->_scopeConfig = $scopeConfig;
$this->_logLoggerInterface = $loggerInterface;
$this->messageManager = $context->getMessageManager();
$this->urlBuilder = $urlBuilder;
$this->_attributeRepository = $AttributeRepository;


parent::__construct($context);


}

public function execute()
{
$argument = array('q' => 'test');
$redirecturl = $this->urlBuilder->getUrl('set-your-redirect-path', ['_current' => true,'_use_rewrite' => true, '_query' => $argument]);
return $this->resultRedirectFactory->create()->setUrl($redirecturl);
}


}

Note: I have tried this code with Magento 2.3.5 version.