Are they your children? Or have you adopted them? If they are not blood-related or adopted, the ''other dependent'' category is correct. But if this is the case, then they don't qualify as your qualifying children, they only qualify as qualifying relatives. Qualifying relatives won't qualify you for the recovery rebate or the Child Tax Credit even if they are within the age range to qualify. I am not sure what you mean regarding the ''work eligibility'' but there is no requirement for you or your spouse to work for the recovery rebate. There is a work requirement for the Dependent Care Credit, but not for the Recovery Rebate.
Who can I claim as my dependent? This link explains the differences between qualifying children and qualifying relatives. They are confusing titles that the IRS uses since qualifying relatives don't have to be relatives and qualifying children need to be related. I didn't write the guidelines 😉
If they truly are ''other dependents'' then, no, you don't need to amend anything, but if they are your qualifying children, then you will definitely want to amend your previous tax returns. As other dependents, they only qualify you for the $500 Other Dependent Tax Credit.
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