The visiting Mavericks went from leading 8-7 to trailing 21-8 in the 4-minute turnaround.
The Rajin' Cajuns (10-5, 1-1 Sun Belt) sank 9 of 22 3-point baskets and also scored 31 points from the free-throw line, scoring in bunches to build leads of as many as 18 points by halftime and by 27 in the second half.
Bench strength was a factor as Louisiana-Lafayette reserves outscored their Mavericks counterparts 49-15.
Maryland point guard Melo Trimble has withdrawn from the NBA draft and will return to College Park for his junior season, sources told ESPN.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.