In order to do this, you need to recover your Yoti account from your mobile phone. If you uninstalled the app and installed again, you will be asked to choose between creating a new Yoti or recovering with your Recovery Key. If you choose this option, you will be able to recover your log ins.
It's also always a good idea to Export your saved log ins, just in case. You will get an Excel sheet including the URL, user name and password.