The Anglo-Nigerian last found the back of the net in December 2016 in the Whites' 4-0 thrashing of Gillingham and ended his drought to help his side secure all three points.
The former Newcastle United winger opened the scoring for the hosts in the tenth minute. After leaving his marker for dead, he unleashed an unstoppable effort past Joseph Wildsmith in the Sheffield goal.
An own goal by Sam Hutchinson made it two for the home side in the 60th before Keiran Lee halved the deficit for the Owls eight minutes later.
Ameobi who had been sidelined for the past six weeks with a knee injury was afforded 72 minutes of action on his return, he was replaced by Craig Noone.
Phil Parkinson’s side sits bottom of the Skybet Championship standings, having garnered five points from twelve games and they will welcome Queens Park Rangers to the Macron Stadium on Wednesday.