You will need to report the income on Schedule C Business Income and Expenses. The income itself will be entered as 'cash' since there is not a tax document showing the amount.
For future reference, if Airbnb will be reporting the income on a tax document later using one of your Social Security numbers, that is the person who needs to be the owner of the Schedule C. If you both will receive a tax document in the future, then create a Schedule C for each of you and split the income and expenses between the two businesses.
Use the information in the following TurboTax help article to get started with the Schedule C:
Where do I enter Schedule C?
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