Your confusion ends here, @odemmedo44-gmail.
With QuickBooks Online Payroll, we help pay and file your federal and state taxes for you. Once you fully enter your state information, Intuit will file the forms that are required for your company by each state or local tax agency.
To learn which taxes and tax forms Intuit handles for your business, you can check out this article: Tax payments and forms Intuit payroll submits for you.
You might also want to know more about Oregon Payroll Tax Compliance. This will help you find details on tax forms, withholdings, unemployment and other tax, e-file and pay information, general state and agency information, and employer registration.
It's nice working with you, @odemmedo44-gmail. Please let me know if you need clarification about filing state taxes in QuickBooks. I'll be standing by for your response.