I'm surprised you could move any third party app with your old phone, because this requires the developer to support it and many do not (increasingly so with many phones not having SD cards and Google dropping support for this feature back in Android 4 - it's been retained or added back by many manufacturers, but isn't a core feature of the OS any more). Hence I'd always expect there to be a significant fraction of user-installed apps that cannot be moved.
The one thing you could try is installing adb on your computer, enabling usb debugging on the phone, connect via USB, check adb is working and talking to your phone using the comment "adb devices", and if that finds the phone and responds use the command "adb shell pm set-install-location 2" - that sets the default to "install apps to SD". You'll have to move any you already have installed by hand, but it might fix whatever is blocking it.