Zend certified PHP/Magento developer

newsletter doesn’t work

I have a block for a newsletter.
When I insert there an e-mail address and press the button the website will reload but I didn’t get any response e-mail and also I cannot see an entry in the table newsletter_subscriber.

I use the following code in the block:

<form class="form subscribe" action="https://agoshop.at/newsletter/subscriber/new/" method="post">
<div class="form_search">
<div class="container">
<div class="row">
<div class="col-md-4 col-sm-12 col-xs-12 wp-form">
<div class="text_form">VERPASSEN SIE KEINE AKTION!</div>
</div>
<div class="col-md-8 col-sm-12 col-xs-12 wp-field">
<div class="form-newletter"><input class="search_input" name="email" type="email" value="" placeholder="E-Mail Adresse" /> <button class="subscribe" type="submit">Newsletter<br />Anmelden</button></div>
<div class="dsgvo"><input required="" type="checkbox" /> Ich akzeptiere die <a href="/datenschutz" target="_blank">Datenschutzbedingungen</a> von AGO-Shop.</div>
</div>
</div>
</div>
</div>
</form>

I have also tried the following code:

{{block class="MagentoNewsletterBlockSubscribe" name="static.newsletter" template="Magento_Newsletter::subscribe.phtml"}}

But with the same problem. I don’t get an e-mail and I will not get any entry in the newsletter_subcriber table.

My url of the website is: https://agoshop.at
Hope someone can help me.
kindly regards