Here's what the totals mean in message history.
Total Received = how many messages a contact has sent to the particular Mobiniti Account. This means how many incoming messages
Total Sent = how many messages a contact has received from the particular Mobiniti Account. This means how many outgoing messages
Example
In the screenshot below:
Total Received: 88 = The contact has sent 88 incoming messages to your Mobiniti account
Total Sent: 512 = Your Mobiniti account has sent 512 outgoing messages to the contact

