Do I owe taxes on money adult family members living with me pay me to cover their expenses?

[xmasbaby0]

No.  Family cost sharing does not get entered on a tax return.

[Hal_Al]

No.

If this is merely a cost sharing arrangement where the amount paid is below fair market rental value, there would be no reportable income to you. Most people take the attitude that it is not income; it's just room mates sharing expenses and ignore it. Family, as opposed to unrelated roommates, makes that position even stronger.