Turbotax very definitely does include form 8606. I have no idea what your problem was.
In some cases, not all forms are ready on day 1. Sometimes the final versions of certain forms are not approved for e-filing until later in the tax season (end of January through February for most forms.) This is due to a combination of delays at the IRS and the time it takes to update the programming after the IRS approves the form. I don't know when form 8606 was ready last year or will be ready this year, but if you don't want to wait, you may have to file by hand again.
The desktop program has a 60 day money back guarantee.
