League One side Lincoln upset Championship Bristol City with a 3-1 victory at Ashton Gate.
Stefan Bajic's debut between the posts for the hosts got off to a poor start as he conceded two goals in nine minutes to give the Imps an early confidence boost.
Matty Virtue opened proceedings with a strike into the top corner from the edge of the area before Ben House doubled the lead when he dispossessed Joe Low and ended his drive into the area with a composed finish for his fifth goal of the season.
A goalmouth scramble after the break ended in Paudie O'Connor's first goal for Lincoln when then wing-back nodded in to extend the visitors' advantage to three, before Tommy Conway replied late on.
Anass Zaroury's second-half brace booked Burnley a ticket to the next round with a 3-1 win over Crawley.
The sides were split at the break after it took Ashley Barnes just two minutes to cancel out Dom Telford's opener and the League Two challengers failed to find another after the restart.
Goals either side of half-time from Warren O'Hora and Matthew Dennis ensured MK Dons earned a place in Thursday's fourth round draw as they beat League One rivals Morecambe 2-0.
