To answer the question on YouTube TV (not YourTube) and recording NFL games, the answer is yes you can record… From
Common questions about NFL Sunday Ticket on YouTube & YouTube TV - YouTube TV Help
What do I get with NFL Sunday Ticket on YouTube TV?
When you purchase a YouTube TV Base Plan and NFL Sunday Ticket, you'll get access to every Sunday game, including local, national, and out-of-market games. Embargo restrictions apply.
You have the option to purchase NFL Sunday Ticket with or without NFL RedZone. And you can watch up to four live streams simultaneously on a single screen with our multiview feature.
Some other benefits for YouTube TV members:
100+ top live TV channels.
Unlimited DVR space, so you can record all your favorite programs or games, and watch them later.