Magento 2: How can set magento 2 default product filter on product collection in CMS page?

I am trying to set a product filter on the custom cms page.
for that, I have created a 1 cms page name test with two-column with left bar.
and inside it, I have called one template file

{{block class=”MagentoFrameworkViewElementTemplate”
template=”Magento_Theme::html/test.phtml”}}

in the layout update, I have placed this code

for calling product filter

inside the test.phtml file I have searched the products from the collection.

if(isset($_REQUEST["test"])) {
        $productCollection = $objectManager->create('MagentoCatalogModelResourceModelProductCollectionFactory');
        $imageHelper = $objectManager->get('MagentoCatalogHelperImage');
        $collection = $productCollection->create()
                        ->addAttributeToSelect('*')
                        ->addAttributeToFilter('status',MagentoCatalogModelProductAttributeSourceStatus::STATUS_ENABLED)
                        ->addAttributeToFilter('visibility', MagentoCatalogModelProductVisibility::VISIBILITY_BOTH)
                        ->addAttributeToFilter('test', $_REQUEST["test"])                
                        ->load();
    }

when I click on any of the filter options then my URL becomes

http://127.0.0.1/test?price=-1000&test=code

so can I get the filter request but it is a very tedious task to set a filter in collection manually.

and on the home page, I have set one search box for search products.

    Find Matching Part

I know that this is not a standard way to do that but anyone can help
me to set this filter in custom cms page.

Any help would be appreciated.

Thanks in advance..!