Crapping or taking a dump. Since the Cleveland Browns have never gotten to the superbowl it is unlikely that people will confuse this with anything actually football related.
Dude1: Where you going?
Dude2: I'm taking the browns to the bowl game.
Dude1: Good luck, go for the 2 point conversion.
Brownexed is a word commonly used in Mid-Western American subculture to refer to someone's opinion being absolutelysteamrolled and proven wrong a.k.a getting figuratively shitted on.
It probably originates from the color of shit itself, with reference to the shit overtaking the opinion at hand; this draws similarity to the phrase 'whitewashed'. It is essentially a form of ownage.
Dude 1: "I think if I recycle I can make a difference in the world."