You should see the Device Overview screen appear. To access text messages on an iPhone, open iExplorer and connect your iPhone to your computer.
This tutorial walks through both possibilities. IExplorer can load, read and export text messages that are either on your iPhone or ones that have been saved in an iTunes Backup already on your computer. If you don't want to transfer the entire conversation, you may select each message bubble, or multiples, and click the 'Export # Messages' button.Use the icons at the top of the conversation-view to filter by date-range, show attachments only, or export the whole conversation.
If you do already have an iTunes backup, and it's more than 24 hours old, iExplorer will ask whether you'd like to Use Last Backup or Refresh to create a new one. Follow these steps to transfer text messages from an iPhone or iPad to your computer: