Pascal Gross had put the Seagulls ahead in the 73rd minute, but substitute Beto rescued a point on his 27th birthday with a dramatic late strike.
Moyes received a yellow card for his jubilant reaction on the touchline and slammed the decision after the match, insisting he would celebrate the same way again.
"Getting booked for that. Imagine booking for celebrating? Who wants to see managers getting booked for celebrating? Know what I mean?,” Moyes told the media.
“ I don't think I would have danced down if the goal had been in the 55th minute you know? But it means they have got nothing about them at all. No thoughts about what football means.
“Of what it means to the managers without absolutely saying you can't step outside that line else I will book you. F*****g said isn't it? F*****g sad. Know what I mean? I'm still shaking my head.
“I bloody will do it again. If I had been a bit more bovile, I might have done a knee slide! Know what I mean? See that would have got me a yellow as well. I might as well have gone the whole hog!"