Lincoln stumbled to defeat at Torquay, finishing the game with only eight men.
Gareth McAuley's header put Lincoln in front before midfielder Darren Garner equalised against the run of play with a left-foot shot just after the break.
After Connell headed Torquay in front Lee Beevers was sent off for a second bookable offence with 10 minutes to go.
Paul Morgan and keeper Alan Marriott were then red-carded after captain Morgan kicked out at Connell and Marriott hit the ball at the striker.
Torquay: Marriott, Hockley, Sharp, Taylor, Hill, Sow (Woods 85), Hewlett, Garner, Kuffour, Connell, Constantine.
Subs Not Used: Skinner, Priso, Coleman, Flynn.
Booked: Garner, Hewlett, Hill.
Goals: Garner 51, Connell 66.
Lincoln City: Marriott, Beevers, Morgan, McAuley, Mayo, Kerr, Keates (Ryan 72), Cryan, Marvin Robinson (Birch 68), Green (Asamoah 63), Molango.
Subs Not Used: Brown, Bloomer.
Sent Off: Beevers (79), Morgan (87), Marriott (88).
Booked: Beevers, Marvin Robinson.
Goals: McAuley 10.
Att: 2,281.
Ref: P Melin (Surrey).