Get your taxes done using TurboTax

Can't be done.

Turbotax installed on your own computer is a standalone program.  Your tax files only exist on your computer, and you are responsible for data security and backups.

Turbotax for iOS is not a standalone program.  The iOS app is a portal to Turbotax Online service, doing your taxes on the web site.  With turbotax online, you can work on your tax return from any web browser or using iOS or Android devices.  Your files stay on turbotax's servers.

If you previously used the Windows version and want to switch to using Turbotax online for a new tax season, there is a procedure to "transfer" your data -- that does not mean your old file is stored on the server, it means your old file is used to fill in some of the information for the new year.  You would have to set up your online account and do the transfer in a web browser, then you could continue working by using the same user name and password to log in from the mobile app.