Goals from Alberto Noguera and Jorge Ortiz gave Goa an early lead to the Gaurs before Diego Mauricio pulled one back for Odisha.
Goa were forced to defend in the final quarter of the game as Kerala tried to take advantage of the extra man.
Ortiz scored a goal each in either half (19th, 52nd) while Ivan Gonzalez added a late third (89th) after Alexandre Lima received marching orders following a second booking.
Angulo (45+1st minute) netted the winner to help Juan Ferrando's side register another victory.
FC Goa requested AIFF to review the incident and the subsequent decision while providing new video material and the letter of apology from Noguera
The 30-year-old Spaniard has penned a two-year deal with FC Goa till the summer of 2022.