The voicemail examples for business purposes shall let u know the right way to accept a message from the caller. At first, mention your name and then directly ask for the details of the caller. In short, the greeting should be precise. You can set two types of voicemail greetings for callers, viz., internal and external voicemail greeting.
Website: https://www.zynnyme.com/blog/2014/9/19/6-telephone-tips-for-mental-health-professionals

Humor also leaves a lot of room for misinterpretation—which subsequently weakens sincerity and authority. A caller can be very turned off by merely misinterpreting your joke. Why take this risk? Additionally, this could even cause callers to question your character. Say, for example, the president of a company’s mobile phone voicemail greeting was funny. What’s to happen if the caller didn’t like or get the joke? What if they found it offensive? Another scenario is that a caller is reaching out to you for the first time—i.e. they have no idea regarding your personality. What next? The point is, with this type of greeting, humor is bound to be more divisive so just avoid it altogether. c. Poorly Pacing Your Message and Bad Time Management: Don’t speed through your message. Speak clearly so callers know what to include in their message and when to leave the message. At the same time, don’t drag your message out. No one wants to sit through a diatribe. Just get to the point clearly.
20. “Hello! Thanks for reaching out to [company]. We’re closed today for the holiday, and will reopen tomorrow, [date]. If you leave your name, number, and a brief message, we’ll give you a call when we’re back in the office. Thanks again, and have a great [day, week].”