I was suspended but cam another account using my Xbox live if there and family

Hi,Keith! I'm Luis, a fellow Xbox Gamer . Thanks for reaching us out here.

No, if the account is suspended there is no way to bypass the restriction

I have a family Gold pack and one of my children has been suspended. Can my other children use the XBOX Live

I am having the same problem (family members cannot use Live membership on both consoles). I spoke with a service representative who informed me that in order to share the Xbox Live membership one console has to be set as Home Xbox. Both consoles cannot
be set to Home and if you switch too often it will suspend the account.

This is completely unacceptable. This is punitive to loyal Xbox customers. I have owned every version of the console. Now that I have added another console to our household for my son having to add another Xbox Live Gold subscription is ridiculous.

Microsoft needs to address this or I will be moving to PlayStation for my future purchases.

As far as I'm aware you cannot transfer Xbox Live membership from one account to another. Changing family is possible by either removing the kids from one account then adding to another, or by adding both of your accounts to the same family and giving
both accounts parental control. If you only use one Xbox you could always make that the home Xbox so any account you use on that Xbox has access to Xbox live or by logging both accounts in which also gives live access but transferring live directly from one
account to another isnt possible as far as I am aware

See here for instructions on how to remove a child account from your family: http://support.xbox.com/en-US/xbox-one/security/remove-family-member

Keep in mind that after the child account is removed, it will not be able to use Xbox Live until they are added to another family account.