First of all, I want to say great work on using the phrasal verb “to pick up!” Native English speakers love phrasal verbs and we use them often. In this example, to pick up the phone means to answer the phone.
Background noises can be picked up in voicemail recordings, and even though we may not want them to, they do subversively impact how our messages are received. Noisy backgrounds tend to trigger thoughts of a chaotic atmosphere --implying that you are disorganized or do not consider the content of your message to be important enough to be heard clearly. And if you don’t care about what you’re trying to say, why should the person on the other end of the phone?

You don't necessarily need to say “Goodbye” at the end of a voice mail, because you didn't really talk to anyone. Instead, try something like, “Look forward to talking* with you!” How do I make a personal voicemail greeting? Start with a polite “Hello”. Inform the caller of who you are, and apologize for missing the call. End your script by asking the caller to leave a name and contact number with a brief message. Inform the caller that you will get back to them as soon as possible.
Approach voicemails with a scientific outlook, and score each one. Create a score sheet with a rating system that addresses the following: Would you save that voicemail? Would you return that call? Would you return that call right away? Are you missing the basics (alternative phone number, optimal ways to get in touch, a fallback person to call)? Did you craft it or wing it?