I purchased Turbo Tax Business & am filing a 1065. Our LLC is registered in CA (home) & rental properties in MO. Do I need to file state tax forms (CA/MO) via TT Bus.?

Yes, you have requirements to file in both California and Missouri.

For California:

Every partnership that engages in a trade or business in California, or
has income from a California source, must file a California partnership
return. Regardless of where the trade or business of the partnership is
conducted, a partnership is considered to be doing business in California
if the partnership is organized or commercially domiciled in California.  See this FTB web page.

For Missouri:

Partnerships must file a Missouri partnership return if a federal partnership return is required to be filed and the partnership has a partner who is a Missouri resident, or any income derived from Missouri sources.  See this Missouri Department of Revenue web page.