I started to play with this today for California Partnership.

Screen 32.1 > CA Miscellaneous > Pass-Through Entity Elective Tax Calculation (Form 3804) > enter a 1 in the first box for each electing partner and Lacerte computes the 9.3%. That then shows up on the 565 line 25 and Line 15f (with note) of the K-1.

There does not seems to be an input for payment via 592-PTE, but you can enter a payment for the amount in Screen 37.011 near the bottom of CA Miscellaneous Info for form 3893[O] 

I believe all of this is a work in progress and input entry points may change.