Please download and install the latest version of Tansee iPhone Message Transfer for Mac here.

Open Tansee iPhone Message Transfer for Mac.

Connect your iPhone or iPad or iPod to your Mac with a USB cable.
Tansee shows an Import screen with all the messages and deleted messages that are on your connected device.
If you have a large number of apps or photos, Tansee will take longer time reading data.
What to Do If Tansee iPhone Message Transfer Keeps Reading Data?
If asked, unlock your iOS or iPadOS device using your passcode. If you see a prompt on your iOS or iPadOS device asking you to Trust This Computer, tap Trust to continue.

After Tansee displays all messages, click the button labeled 'Backup' located at the bottom of the screen.
You can choose to save all your iPhone, iPad, or iPod messages to your Mac in TFST, HTML, TEXT, PDF or JPG format. By selecting the TFST format, you can also set a password to protect your Messages database for personal privacy.
Select the desired contact from the Tansee contact list, select the messages by date and then click 'Start Backup'.

Click 'Print' button. Click 'Start Print'. Print messages exactly as they appear on your iPhone.

Settings

Click Register button and put in your license code to get full version.