Family Tax Credit

Hi,

Is TaxCycle capable of calculating and optimizing the family tax credit?

Yes, I believe it is. (assuming your mean the Family Tax Cut) That feature came out a while back. see these release notes:
https://www.taxcycle.com/Support/Documentation/tabid/153/ID/1315/TaxCycle-Release-32254930--T4T4A-T5-and-T5018-slips-release.aspx