This is his second Team of the Week nod, the first coming in Week 25. This also marks the second consecutive week with a Dynamo player in the XI after Ricardo Clark was included last week.
The Dynamo's other two-goal scorer from the weekend, Boniek García, was named an honorable mention.
Barnes also led the league's weekly Castrol Index Top 20 after his performance, collecting 1,683 points. García and Will Bruin, who added a goal and an assist on Saturday, came in at No. 9 and 14, respectively.