Yes, TurboTax Home and Business does support Form 568 for a single member LLC, however, if you have a multimember LLC, then you will need TurboTax Business with Form 565. Additionally Form 568 cannot be e-filed but below are instructions for printing and mailing. For more information about TurboTax Business and a link to download click here
https://ttlc.intuit.com/replies/6451707
Here is a TurboTax FAQ with listings of what forms are supported in the state returns for individual versions of TurboTax. If the form is not listed, it is not supported. Just click on the link for California in your version of TurboTax.
https://ttlc.intuit.com/replies/3319879
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