Domain authentication, shows email providers that WowSender has your permission to send emails on your behalf. To give WowSender permission, you point DNS entries from your DNS provider (like GoDaddy, Rackspace, or Cloudflare) to WowSender.
Even though this is a small change from your recipient's perspective, this change has a huge positive impact on your reputation as a sender and your email deliverability. Email service providers distrust messages that don't have domain authentication set up because they can not be sure that the message comes from you. Explicitly stating that it comes from you increases your reputation with email service providers which makes it much less likely that they will filter your mail and not allow it get to your recipient's inbox, which increases your deliverability. You are also explicitly showing your recipients that this email comes from you, so they are less likely to mark your mail as spam.