If you're signed in correctly to the same account, they should. They do for me.
Using the about tab under settings you can see what version you have. If you are using the Beta version the latest is 13.66, and the stable version is 13.60. Both have been adding videos watched to my history just fine. There was an issue with previous versions that didn’t
I also have the same issue, looking for answers
I have the same issue, also the videos I watch on Smart Tube Next are not "flagged" as seen, with the red bar progress.
What version of the app are you using? Maybe you need to update the app, because the History function of the app works correctly.