My two adult children lived with me last year. They both had jobs off and on so will be filling themselves but I supported lodging, food, etc.

[DoninGA]

If they were age 19 or older, not full time students and had gross income of $4,700 or more in 2023 then you cannot claim them as dependents on your tax return.

[JohnB5677]

If your sons older than 19 (24 if still in school), are not eligible as a Qualifying Child.

However, they may be eligible as Qualifying Relatives.

The income may be an issue.

"A qualifying relative must meet general rules for dependents and pass these tests:

• Not a qualifying child: Isn't your qualifying child or the qualifying child of any other taxpayer
• Member of household or relationship: Lives with you all year as a member of your household or is a specific type of relative
• Gross income: Has gross income under $4,700
• Support: Gets more than half their financial support from you"

Please see the IRS publication Dependents for more details.

Provided they meet these guidelines, you can claim them as dependents.