Rochdale boss Jimmy McNulty told BBC Radio Manchester:
"I was really proud of the team and the personality on display in the midst of an occasion that people thought we may of not arrived at because of any psychological disappointment after our galling draw that lost us the title last week.
"The courage and football on show was amazing. I'm really, really pleased for the team that they were rewarded with a win that takes them to Wembley."
On how the side have coped since last Saturday's last-gasp draw with York: "If I'm being honest with you, we just all got on the drink together straight after the game and had a great time. To exorcise the demons and celebrate what had been an amazing season up until that point, and it was honestly a great part of our recovery.
"I felt like something further was meant for this team. I'm so glad that we can now take the Rochdale fans down to Wembley with us."
Scunthorpe boss Andy Butler told BBC Radio Humberside:
"Immensely proud. My first mention is to the fans today. Incredible support, it felt like a home game.
"We gave everything we possibly could. Rochdale are an incredible side. I thought we've been class and, as I stand here right now, I couldn't be prouder of the football club as a whole – fans, board, owners, directors, family, everyone.
"We have character in abundance in this group. Two years today I came in, it's been enjoyable, tough, a lot of pressure. Not everyone's seen eye-to-eye with me in terms of selection but what I have got is a group of players and staff that believe in what we're trying to do.
"I give everything I possibly can to this football club. I'm proud to be a manager of it, from youth team player, to captain, to first-team coach and manager. As a manager you want your side to replicate you and I think they do that."