If you received the RSU income in the second half of the year (reported on a W-2), TurboTax will split W-2 income/tax paid as reported on your W-2 for each state. You shouldn't need to make any other entries, unless you think your W-2 is incorrect.
It sounds like your employer correctly split your income between the two states, and showed the tax paid to each state, so there is no double-taxed income.
Not sure what you mean by 'CA/OR Credit'. If you received California income, but did not reside there, file a Non-Resident State Return, reporting only CA Income/Tax Paid.
Here's more info on How to File a Part-Year Resident Return and Allocating Income for a Part-Year Resident.
@shachiagarwalla
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