Larne have now won seven matches in a row against the Glens and after a dull start to the game the outcome was rarely in doubt.
The first chance of the game came after just three minutes when Chris Gallagher threw himself in front of a close-range James Singleton strike at a corner.
That was not a sign of things to come as the first half became a war of attrition with plenty of meaty tackles but chances in short supply.
Hvid met a Daniel Amos corner in stoppage time but couldn't keep it down and he would then send Andy Ryan to the turf in the box with an ill-timed slide tackle just before the whistle.
Ryan dusted himself down and coolly sent Gyollai the wrong way with the last kick of the half to give the hosts a lead at the break.
That advantage was extended six minutes after the restart as Lusty outpaced McClean to get on the end of Gallagher's pass before coolly slotting past the advancing Glens stopper.
This seemed to take the air out of the visitors' sails and it could have been three mere moments later when Lusty again showed McClean a clean pair of heels and slid in Ryan. However, Gyollai denied him well from inside the box.
Larne were fairly comfortable for the remainder of the game but Jay Donnelly should have done better with a free header from a late corner while Larne will feel aggrieved not to have a third as a Ryan shot appeared to have crossed the line before McClean could clear.
However, the Inver Reds returned to winning ways while Glentoran missed the chance to move to the summit of the league standings.