Baggett kicked six field goals, including a 23-yarder early in the fourth quarter to lift the National team to an 18-17 victory over the American in the NFLPA Collegiate Bowl on Saturday.
"This isn't an audition. This isn't [an all-star game with guys] saying, 'Hey look at me. Don't push me. I don't want to get hurt," Baggett said. "You're out here getting ready for an NFL camp. If you're a minute late for a meeting, Coach is there saying, 'That would have cost you $5,000.' "
Baggett's game winner with 13:48 remaining came three plays after Kyle Kragen of California recovered Travis Wilson's fumble on the American 10-yard line. For Kragen, it was his third sack of the game.
Mike Martz, who coached the St. Louis Rams to the 1999 Super Bowl, said his National team coaching staff made it a point to showcase how things are done at the professional level.
"A lot of these players will have opportunities in camp whether they're drafted or as free agents," Martz said. "What we tried to afford them is the opportunity to see how a week of NFL practice is run. We tried to teach them the skills they'll need if they go to a team. How to handle everything. How to go to a meeting. Where to sit in a meeting."
Baggett, who kicked four years at Missouri and finished just eight points shy of the school scoring record, also connected from 36, 50, 42, 39 and 24 yards before kicking the winner. He missed a 54-yard attempt.
"Games like this don't usually happen," Baggett said. "It's cool to get a shot at field goals like that. How I did is not for me to decide. Hopefully some people [in the NFL] thought I did enough."
Stephen Rivers, the younger brother of San Diego Chargers quarterback Philip Rivers, threw a 12-yard touchdown pass to Jaydon Mickens of Washington with 2:31 left in the first half, giving the American team a 17-6 lead.
"This game teaches you a lot," Rivers said. "It's a nice week. You don't have to worry about school. It's all football for a week. It gives you a glimpse of how it might be if you were to make it."
Rivers, who threw for 1,394 yards and nine touchdowns at Northwestern State in 2015, completed 11 of 17 passes for 96 yards and the TD.