Have you take out the muffler to clean the muffler? Does it has a spark arrestor screen, that need to be cleaned. Do that first and see what happen.

DO that and post back.

Did you buy a rebuild kit? What model (newer one with primer bulb or older one without?) If it got a primer bulb will it pull gas up and through the carb.? Just cleaning didn't do anything for a bad diaphramn, needle and seat, or clogged orifices. It's not flowing gas through the carb. Plus once you tear a carb. apart somtimes air gets trapped in the carb. and it takes awhile for the gas to siphon up through the carb especially if you don't have a primer bulb.

IMO If you used a new rebuild kit and installed it correctly the idle circiut is still probably plugged. To get to it properly you have to remove the welch plug to clean the passages out should be three orifice holes Idle, mid, and high flow.

When a carb. sets with gas in it for a while (over winter sometimes) the gas evaporates leaving a scum residue once this happens it gets hard and usually just soaking it will not dislodge the fine metered holes.