Dear Muhammad Nizamuddin AoA, There is no specific model that could give you the best relationship between CSR and the company performance because CSR and company performance are linked when these are society centered and are truly for the benefit of the society where company operates. Generally a fig leave policy is opted by most of the companies that is not the true depiction of CSR. For example if company is operating in third world country where problem is of education, unemployment and of health but company invests in controlling pollution will not be a good CSR and company may not perform well because of the misdirected CSR activities. Similarly if a company operates in Advanced country like US or of Europe where problem in focus is pollution control not education, will be successful if invests in controlling pollution. Generally the best model to implement CSR is the leadership and the organizational culture that helps in this regard. But most importantly it must be known that what people of your country wants from corporate sector and then design your research. I am sending you a research paper where it was asked by the people what they want from the corporate sector. When companies know the demand of the society and opt the same CSR policy become successful from the beginning of their business.
You may read my thesis on the topic. I investigated the relationship between CSR and financial performance. My empirical study suggests that there is even reverse causation between the two constructs - as financial performance could also lead to laudable CSR behaviours.
Interestingly, there were some other important findings -
The few studies that analyze the impact of a combined strategy of innovation and corporate social responsibility (CSR) on firm performance mostly focus on financial performance. In contrast, the current study considers the simultaneous impact of technological innovations (product and process) and CSR on firm growth, which provides a measure of medium-term economic performance. With a sample of 213 firms and a two-step procedure, this study reveals the differentiated effects of strategic versus responsive CSR behavior on the two technological innovation types, as well as the effects of the two innovation types on growth. The findings thus indicate that firms with strategic CSR achieve growth through both their product and their process innovations.