You can catch up on text messages you missed, mark messages as unread, and pin and unpin conversations to prioritize messages in the Messages list.
In the Messages list, do one of the following:
Swipe right on a conversation to mark it as unread.
Drag right and tap on your iPad.
In the Messages conversation list, tap iPad that supports Apple Intelligence and you haven’t checked a conversation for a while, Apple Intelligence can help you catch up by showing you a summary of that conversation. See Search in Messages on iPadBlock, filter, and report messages on iPad