Sorry this is late! (stupid all morning long work meeting...)
Our rules are simple. This week we will only consider canon material again. Rogue Group is seen in the Battle of Hoth, and Black Squadron in the Battle of Yavin.
Rogue Group:
The Rebel squadron "Rogue group" was responsible for defending Echo Base in the Battle of Hoth. They flew T-47 Airspeeders and battled against an Imperial force that was superior in numbers and fire power. Some of the notable members are Luke Skywalker, Wedge Antilles, and Wes Janson. They successfully downed several AT-ATs and held off the Imperial forces long enough for the Rebel forces to evacuate.
Vs.
Black Squadron:
Stationed on the first Deathstar and lead by Darth Vader, these pilots were chosen by the Sith lord as the most talented and ruthless of the Imperial Navy. When Grand Moff Tarkin refused to even acknowledge the prescience of the Rebel fighters at the Battle of Yavin, Black Squadron deployed without aid from the rest of the Imperial Navy. Vastly outnumbered, they were responsible for many Rebel casualties.
Who would win and why?
Maybe you should have done the 181st vs rogue squadron; maybe I don't know much about black squadron but I think it would be more fair

