Something would need to trigger TurboTax to ask about filing an OK state tax return for gambling winnings. It is normally one of two ways. 1. The taxpayer enters a W2G that shows OK winnings in the state boxes. 2. Taxpayer indicates in the "My Info" section using the "Other state income" topic that they earned money from another state. Gambling Winnings is specifically mentioned there.
The taxpayer would subsequently enter the gambling winnings as "not reported on a W2G" in the federal interview. A non-resident return would be generated and the taxpayer would allocate the gambling winnings to the non-resident state for tax calculations.
If the state of OK receives data from another source that a taxpayer has earned income in OK that exceeds the reporting threshold they may contact that taxpayer for resolution.
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