Thank you for reporting this issue. In the default style the New badge on a direct message sits at the right-hand end of the message header, away from the date, so we couldn't find where it would appear right next to the date. We need a little more detail to look into this.
Which style were you using when you took the screenshots: the default XenForo style, a third-party style, or a modified one? Does the badge still sit next to the date if you switch to the default style?
Which page were the screenshots taken on? For example, when viewing a direct message, or in a list or popup of direct messages?
This is an automated assessment. A member of staff may review and update it.