Two netflix accounts on different xbox's with same live account

I am having the same issue, Hulu is gone and Netflix. I have two Xbox's with two different Gold accounts. On one everything is just peachy on the other the two mentioned features are missing.

Unfortunately you can not share the same Xbox account on two consoles at the same time. For both of you to play on two different consoles at the same time would require two different accounts. It doesn't cost anything to create an account for Xbox Live.
However, it will cost BOTH accounts to have Gold subscriptions.

It is true that in preparation for the Xbox One launch the family plan was discontinued and existing users were converted to standard LIVE Gold accounts. Reason being, the Xbox One is capable of enabling an Xbox LIVE Home Gold account instead. The Xbox
LIVE Home Gold service allows ANY profile that logs into your Xbox One console to have access to your live services. I see the dilemma for you is that you want two Xbox(s) for two children. If it is not possible for them to share an Xbox One, then you really
only have the option of purchasing two consoles and two standard LIVE Gold memberships. As for Netflix, if you only have one console and one LIVE Gold membership, you can only watch Netflix on that console. But, it you have two consoles and two LIVE Gold
memberships, you should be able to watch Netflix on each console, provided that Netflix allows more than one user to be logged into the same Netflix account from different "locations". Otherwise, you might need two Netflix memberships too. If my siblings
and I didn't want to share our Super Nintendo, my parents said "Tough dookie! Learn to share "your toys"". My, how times have changed. LOL

Well from your question there are two totally different scenarios. One possible solution if you were to be playing Call of Duty for example, and your wife wanted to watch Netflix, might be to create another Xbox Live account (yes, you will need to purchase
a Gold subscription) for your wife to use. While you are playing games in the living room, your wife can log on to the second account, then log in to your Netflix account (you only need one Netflix account for this.) But I also see you have another problem,
if you wanted to watch Netflix in the living room, and your wife wanted to watch a different program on Netflix in the bedroom. For this to happen, you would need not only 2 Xbox accounts but also 2 Netflix accounts.

I hope I helped.

Game Pass and Netflix are two different things. They are not connected whatsoever. To watch Netflix on any device, just sign in with your Netflix account.