Order of text messages

The sorting is done based on when the messages were received. They are in chronological order based on when the message is received. As a new message arrives, it will move to the top. If you wish to provide feedback to Apple regarding a change you would like to see, a change you didn’t like, or report a bug, then use the feedback link here, Feedback - iPhone - Apple

Hi Uwsmom,

Thank you for using the Apple Support Communities! While typically more recent messages are at the top, you do have the option to pin important conversations so those show at the top of the Messages app:

Use Messages on your iPhone, iPad, or iPod touch

Apple always welcomes and encourages feedback and suggestions. You can submit your feedback directly here:

Product Feedback

Hope this helps!

Have a great day.