Many people incorrectly stop doing an exercise because they don’t ‘feel it’ in the area or muscle they are expecting. This is an incorrect method of thinking as it is unlikely that the intended muscle(s) are not being used if the exercise is being performed correctly. The most common reason for not feeling the exercise is simply not using enough weight to stimulate the muscle. That is not to say you should lift a heavy weight straight away, just that it you may not feel it until you are stronger. Therefore, you should continue with the exercise, adding weight regularly and in time you should then feel the muscle(s) working.
Conversely, just because a muscle or area feels fatigued or sore the next day it does not mean you have hit the required muscle properly. A common area for this is the lower back as it is often a weak area and is therefore regularly given excessive stress due to poor exercise execution.