Transferring Old Messages From Iphone to Macbook

Update!: This is so weird!: The messages seemed to have decided to finally all to show up in the Messages app on my Macbook last night or the night before. However, each conversation shows the the animation from the inbox view as if someone is typing in the conversation, which eventually stops, but no messages can be seen inside the conversations! I even see the dates of messages sent between me and the other party for some of the messages! but there is no text nor any photos! I can even react to certain empty message bubbles, but can't see the messages! Will also bring this up with the Wondershare staff. Good chance that they may know about this problem.

At least I seem to have all the conversations (pictures included it seems!!) in my iPhone's Messages app as of two days ago! Still want them on my Messages app on my Macbook though! Interesting, that they haven't come through and the software is acting. Hoping I'll hear from someone soon here! The post has been up for less than two days and I see that the "I have this problem too" button already has 2 people on it!