Orr pounces late to lift Toronto FC to draw at Sporting Kansas City
Dwyer put Sporting up 1-0 in the 47th minute and 2-1 with a penalty kick in the 84th. He moved past New York's Bradley Wright-Phillips for the MLS lead and became the third player in club history to score in four straight games.
But in the first minute of stoppage time, Bradley Orr headed in a high ball from Nick Hagglund to salvage a road point for the Reds (4-4-1).
Kansas City (5-4-3), which was playing with a makeshift back line after losing all of its central defenders to injury, international duty and suspension, broke a two-match losing streak with the draw. Toronto is winless in three of its last four.
Second-half sub Luke Moore also scored for Toronto. His 67th-minute goal tied it at 1, about 5 minutes after defender Steven Caldwell was issued a straight red card for a dangerous foul on Sporting's Toni Dovale.