Another report over on OS has confirmed cross-platform progression for MyTEAM. In other words, all MyTEAM Points, Tokens, cards and progress will be shared between the PlayStation 4/Xbox One and PlayStation 5/Xbox Series X versions, meaning anyone who upgrades/double-dips won't have to start over.
The report also confirms that your VC balance will be shared between the two platforms, which is both advantageous and disadvantageous depending on the situation and how you look at it. Once again, it means that anyone who upgrades would be able to take any VC they've earned (and presumably any they've purchased) back and forth between platforms as needed and desired. Of course, it also means dipping into the same fund for both platforms, which might leave you a little short (and prone to considering paying for VC).
According to people on Twitter who have made inquiries, progression for MyCAREER and its connected modes won't carry over between the platforms. This would strongly suggest that the Next Gen version will be doing something different regarding MyCAREER whereas MyTEAM will be more or less the same on both platforms, which isn't a huge surprise.