Tuoyo shot 5 for 6 from the field and 6 for 7 from the free-throw line. He made three free throws and a dunk to push the Mocs' lead to 45-19 with 2:48 to play in the first half.
Thirteen of 14 players scored for Chattanooga (2-0).
The Mocs held a 46-26 rebounding advantage.
Demetrius Kitchens led the Tigers with 12 points and Danny Graves added 11.
Both teams combined to commit 48 turnovers.