Hello and welcome to Apple Support Communities, merrily10.
If I understand your post correctly, your iPhone and Mac are sending iMessages from your email address and your Mac will not send text messages at all. Being able to send and receive messages is important. I'd like to help.
First, make sure your phone number is selected here:
- Make sure that you're using the latest software for your Mac or iOS device.
- Make sure that you correctly followed the iPhone steps to set up your phone number. You should be using the same Apple ID on all of your devices.
- In the “You can be reached” section of Messages and FaceTime settings, make sure that there are checkmarks beside your phone number and Apple ID:

If your phone number is unchecked and you can't select it, or you have some other issue, follow these steps:
- On your Mac:
- In Messages, choose Messages > Preferences, then click Accounts and select your iMessage account. Click Sign Out.
- In FaceTime, choose FaceTime > Preferences, then click Sign Out.
- On your iPhone, iPad, and iPod:
- Go to Settings > Messages > Send & Receive. Tap your Apple ID, then tap Sign Out.
- Go to Settings > FaceTime. Tap your Apple ID, then tap Sign Out.
- On your iPhone:
- Go back to Settings > Messages and make sure that iMessage is turned on.
- Tap Send & Receive, then choose “Use your Apple ID for iMessage” and sign in with your Apple ID.
- Using the same Apple ID, sign back in to Messages and FaceTime on your other devices.
If you still need help, change your Apple ID password and repeat the setup steps. If that doesn't work, contact Apple Support.
See the full article here:
Add or remove your phone number in Messages or FaceTime
To use your Mac to send and receive text messages, follow these steps:
Use this feature with any Mac, iPhone, iPad, or iPod touch that meets the Continuity system requirements. Make sure that your devices are set up as follows:
- Each device is signed in to iCloud with the same Apple ID.
- On iPhone, go to Settings > Messages > Send & Receive. Make sure that the Apple ID at the top of the screen is the same Apple ID that you're using for iMessage on your other devices. Add a check to your phone number and email address, so that you can be reached by iMessage at both. Do the same on your iPad or iPod touch.
- On iPhone, go to Settings > Messages > Text Message Forwarding, then choose which devices to allow to send and receive text messages from this iPhone. If you're not using two-factor authentication for your Apple ID, a verification code appears on each of your other devices: enter that code on your iPhone.
- On Mac, open Messages, then choose Messages > Preferences. Click Accounts, then select your iMessage account. Make sure that the Apple ID shown here is the same Apple ID that you're using on your other devices. Add a check to your phone number and email address.

To use this feature, just start conversations as normal in the Messages app on any of your devices. You can also start a conversation by clicking a phone number in Safari, Contacts, Calendar, or other apps that detect phone numbers. All of your incoming and outgoing messages appear on all of your devices. Learn more about forwarding SMS/MMS messages from your iPhone to an iPad, iPod touch, or Mac.
See the full article here:
Use Continuity to connect your Mac, iPhone, iPad, iPod touch, and Apple Watch
Let us know if that resolves this issue for you.
Thanks for using the Apple Support Communities. Take care.