We have just installed two 2-piece toilets. We have an intermittent but regular problem with flushing the toilet where upon flushing you hear/see an airbubble and then the toilets fills with water but the swirling action is only half hearted and the toilet doesn't drain away. A second or third flush will result in a normal flushing action.
It may also be that the water level in the bowl may seem low at the time of flushing if this problem is about to occur.
The water flow sound at the time of the flush also sounds "half hearted" compared to the "whoosh" when the toilet flushes normally.