Kohne scored 13 of his total points in the second half and Hogan scored 10. Kohne also blocked four shots, all in the final 20 minutes.
East Noble High School graduate Kevin Bloom collected a career best and team-leading 12 rebounds (10 defensive) and scored eight points in the win.
Saint Francis scored the first eight points of the game and led by double digits for a fair amount of the first half, before Mount Vernon Nazarene used an 8-2 surge to close the first half and trail 28-21.
The Cougars then opened up a 26-13 lead with 4:47 to play before the hosts closed strongly. Mount Vernon scored six straight points before Kohne stopped the run scoring at 1:03 for a 28-19 lead.
In the second half, the Cougars continued their solid play and outscored Mount Vernon 30-23.
The hosts shot 26.3 percent (15-for-57) of their shots, while Saint Francis connected on 42.6 percent (20-for-47) of its attempts.
The Cougars were shutout from long range in missing all four of their attempts from 3-point range.
Conversely, Mount Vernon sank 8 of its 33 shots from beyond the arc (24.2 percent).
Luke Shetler came off the bench to lead the host Cougars with eight points, while the Saint Francis defense stymied Mount Vernon scorer Jason Dawson. After scoring 40 points against Huntington and 33 against Bethel last week to earn co-CL Player of the Week, Dawson finished with just six points against the Cougars.
Saint Francis will host Marian Thursday at 7 p.m. at the Hutzell Athletic Center.