This paper deals with the effect of brand fit on CSR. This is not exactly what you are looking for, but it could be interesting.
Best regards
Dual nature of cause-brand fit Influence on corporate social responsibility consumer perception, European Journal of Marketing. 2012, Vol. 46 Issue 3/4, p575-594
This book (published in Brazil) for which I am on of the authors of a chapter discusses various relationships between corporate social responsibility and its stakeholders.
There are chapters that address CSR relationship and consumption behavior / brands.
Are there articles speak about the effect of social responsibility on the perceived fit on the brand extension context? - ResearchGate. Available from: https://www.researchgate.net/post/are_there_articles_speak_about_the_effect_of_social_responsibility_on_the_perceived_fit_on_the_brand_extension_context [accessed Mar 4, 2016].
Consumer ́s worry about the environmental and social impact of modern lifestyles is growing. This is why Corporate Social Responsibility (CSR) provides brands an important source of differentiation and strength in the future.