Albion suffered defeat in their first home league game of the season after they were edged out by Arsenal on Saturday afternoon.
Khayon Edwards netted the opener for the visitors in the first 15 minutes of the game as the Gunners took a one-goal advantage into the half-time interval.
Marcelo Flores doubled the away side's advantage seven minutes into the second half, but Layton Love's effort 20 minutes before the final whistle gave the Baggies a chance of turning the game around.
But Edwards completed his brace soon after Love's strike to condemn Peter Gilbert's Albion side to a second consecutive defeat.
Albion: Chisholm; Hall, Machisa, N'goma; Williams (Phillips 20), Oluwatobi (Oliver 89), Heard, Shaw; Lamb, Cleary, Higgins (Love 58).