The Hatters looked set to lose for the third game running as the hosts raced into a two-goal lead after two strikes from forward Chris Wood.
However, the Town are made of stern stuff and thanks to goals from Chiedozie Ogbene and Elijah Adebayo - the second in the third minute of stoppage time - the Hatters earned a valuable point.
While the boss was happy with the comeback Edwards was disappointed with the way his side had fell behind.
Watch the full interview with the manager on our YouTube channel.