The first term saw the Lions collect three majors before Kane Rattray managed to get a goal for the Hawks.
Barooga failed to convert another two chances in front of goal before the first break, but by then the damage had been done.
The home side’s woes continued to half-time, when Mulwala made the most of devastating accuracy in front of goal to extend the lead to 80 points.
It was a sign of things to come, with Barooga’s only answer to Mulwala’s five goals in the third quarter being a single behind.
More chances opened up for the beleaguered home side in the final term, but the rampaging Lions did not let up.
The final scoreline gave Mulwala a 166-point win, 2.6 (18) to 28.16 (184).
“We’re obviously disappointed with our performance, and I think we’re really struggling to get any consistency with a full side out on the park, which is something we do need,” Barooga coach Jeremy O’Brien said.
“I can never question our effort, our effort is always there, it’s just our execution that lets us down.
“Our pressure is really good, our tackling, our team assists are really strong. And, to be honest, they have been right across the year. It’s more when we get ball in hand that we need to improve.
“We definitely made more opportunities than we did the week before, and I guess that’s a positive sign.
“That’s one thing Mulwala were — they were really accurate in front of goal. And we certainly had some opportunities in front of goal.
“Mulwala were just too good, too skilful.”
Reserves
The Hawks’ reserves fared marginally better than their senior counterparts, although not without a side of pain.
The rampant Lions kept their opposition scoreless until a Sam Mudge major in the second term put the home side on the board.
But it wasn’t enough to contain Mulwala, which ran away to a 135-point victory, 1.2 (8) to 22.11 (143).