The 2-0 win marked the club's first at Old Trafford in the Premier League.
Dyche stated, "We didn't come here expecting to dominate the ball. I thought we put a really good shift in and the team delivered.
"I'm pleased we are in the record books for various reasons. We have had some ups and downs this season. There are so many positives tonight. There's lots of work to be done. That's how it works.
"Our record against the top six is indifferent. Manchester United still ask questions and dominated the ball. I can't worry about everyone else. I can only focus on us.
"I can assure you our first port of call is making sure we are in the Premier League."