The result of external penance and renunciation is worldly life, meaning that one acquires material pleasures and gradually one even attains the path to liberation. However, there is no liberation without Knowledge of the Self (Atma Gnan).

Renunciation & acquisition are both at the gross level, while being irritated and having love [for someone] are at the subtle level. The two cannot be equated with each other, so why are you doing that? These two have nothing to do with each other.  

The penance and renunciation that one is told to do is actually under the authority of the non-Self (parsatta). So how can that happen? Penance-renunciation, it is all a resultant effect of the non-Self (parparinaam). It is neither an effect of the Self (Swaparinaam) nor is it independent (swadhin).

Renunciation and saiyam are two different things. Renunciation is where one gives up all marital ties, parental ties, financial ties and material possessions. What is saiyam? When anger, pride, deceit, greed and attachment-abhorence are under control, then it is considered as saiyam. 

As long as one does not have Knowledge of the Self, his renunciation (tyaag) will give result. And after attaining the Knowledge of the Self, there is no renunciation; there is only a vow (vrat). A vow is that which prevails on its own.    

The only difference between a Gnani and a renunciate is that the Gnani prevails in a state of saiyam (absence of anger-pride-deceit-greed and attachment-abhorrence), whereas a renunciate follows a set discipline. No one besides a Gnani can remain in saiyam.  

Renunciation is actually a result of the unfolding karma, whereas saiyam, a state in which there is absence of anger-pride-deceit-greed and attachment-abhorrence, is a result of understanding.

The renunciation that increases anger-pride-deceit-greed (kashay) cannot possibly be renunciation

The renunciation that increases anger-pride-deceit-greed (kashay) cannot possibly be renunciation.