Are you asking about child -related credits?  

Your refund is not broken down by how much you "get" for each dependent.  

There are several child-related credits you *may* get if you have a dependent child and if you have income earned from working.The amount earned by working has a major effect on how much you receive for the child-related credits.

You might be getting the Child Tax Credit--that is not all a refund--it lowers the tax you owe, up to $2000 per child, but if you do not owe tax then you may not get the full amount of CTC.  In some cases, you could qualify for the "Additional Child Tax Credit" which is a refundable credit, and would increase your refund.  If you qualify for this credit, TurboTax calculates and automatically adds it to your refund.

You might be able to claim the child and dependent care credit if you paid someone to take care of your child so you could work. This is not a refundable credit, so it will not be in your refund.  It can lower the tax you owe.

You might qualify for Earned Income Credit, which is a refundable credit if you worked and earned income. The EIC is based on the amount you earned.  If you do qualify for EIC, TurboTax automatically calculates the amount and adds it to your refund.

Look at your 2020 Form 1040 to see the child-related credits you received

PREVIEW 1040

https://ttlc.intuit.com/questions/1901539-how-do-i-preview-my-turbotax-online-return-before-filing

Child Tax Credit line 19

Credit for Other Dependents line 19

Earned Income Credit line 27

Additional Child Tax Credit line 28

Child and Dependent Care Credit line 31 (from line 13 of Schedule 3)

https://ttlc.intuit.com/questions/1900923-what-is-the-child-tax-credit

https://www.irs.gov/help/ita/does-my-childdependent-qualify-for-the-child-tax-credit-or-the-credit-f...

https://ttlc.intuit.com/questions/1900643-what-is-the-child-and-dependent-care-credit

https://ttlc.intuit.com/questions/1899157-what-are-the-qualifications-for-the-earned-income-credit-e...

https://www.irs.gov/credits-deductions/individuals/earned-income-tax-credit/use-the-eitc-assistant

https://ttlc.intuit.com/questions/4499708-what-is-the-500-credit-for-other-dependents-family-tax-cre...

We qualify for the Dependent refund but it did not show on our refund when we filed. It said on our return that he qualifies but did not appear on refund.

Are you saying that there is not a $500 on line 19 of your 1040? This is where the Child Tax Credit and the Credit for Others Dependents appears.

As xmasbaby0 notes above, in the actual refund itself (line 34), all the tax and credits and withholdings are lumped together.