Massa was later joined on the scoresheet by teammate Atusaye Nyondo, while Katlego Mashego pulled one back for Free State at Tuks Stadium.
The hosts got off to the perfect start, with Massa striking twice before some fans could find their seats.
The sturdy Ugandan fired a powerful free-kick from just outside the area past Daniel Agyei in the fourth minute before tapping in from close range seconds later after a defensive mix-up gifted him the ball.
Ea Lla Koto nearly narrowed the early deficit in the seventh minute through Bobe. The former Black Leopards skipper’s curling free-kick had Washington Arubi beaten, but not the post.
The early goals meant Stars had to attack from early on, something that seemed to suit the hosts who played on the counter.
Either side had opportunities to add to the score line but neither was able to trouble the net again before the break.
Tuks made it 3-0 from the penalty spot five minutes into the second stanza. Nyondo was brought down inside the area by Sibusiso Mthethwa, who had just entered the pitch. The Malawian brushed himself off, stepped up and coolly slotted the ball past Agyei.
The visitors reduced the deficit in the 75th minute through Mashego. Danny Venter neatly played his free-kick attempt into the path of an unmarked Mashego, who made no mistake with his first time effort.
Stars piled on the pressure in the final few minutes but Tuks held on to climb up to 10th on the log. The defeat demotes Ea Lla Koto to 13th.