Nieves was 5-of-11 shooting, including 3 of 6 from 3-point range, while Baker was 6-of-13 shooting and 5 of 10 from deep. LeAntwan Luckett added 14 points.
The Braves (5-14, 3-1) made 51.8 percent (29 of 56) of their shots, including 10 of 21 from 3-point range. Alcorn State has won consecutive games for the first time this year.
Terry Rose paced Grambling State (0-13, 0-4) with 19 points. The Tigers shot just 28.8 percent (17 of 59), including 22.6 percent (7 of 31) in the first half.
Grambling State went 0 for 7 from 3-point range before halftime, when it trailed 38-15, but hit 5 of 7 after the break. Rose hit four of those treys in six attempts.
Maryland point guard Melo Trimble has withdrawn from the NBA draft and will return to College Park for his junior season, sources told ESPN.
Louisville's Chinanu Onuaku, who recently underwent a medical procedure to correct a heart rhythm issue detected during the combine, will keep his name in the NBA draft pool.
Andrew White III will return to the Nebraska men's basketball team next season after removing his name from the NBA draft.