In my local bank you can choose between 2 ways of 2fa: in their app or sms. Sms is less secure and slower, as you have to wait a bit for the sms to arrive. And you have to use 2fa for each online purchase, and login to the website. But my bank's app works perfectly fine on rooted phones.

However Revolut stopped working, and I gave up reading about workarounds. I have an old unrooted broken phone always at home, I use it for that only. Revolut's website is limited, you can only see your balance and disable your cards if they were stolen, nothing else, you have to use the app for everything.