There is an increasing concern about incorporating green criteria into production planning approaches. Production planning models that ignore green parameters may generate outcomes that are unfriendly to the environment. The relevant literature has suggested a flourishing trend towards the integration of green parameters into production planning approaches. The earlier reviews have most commonly analyzed the green production planning approaches from an "energy efficiency" perspective. Literature on the integration of other green criteria is also available. However, such studies are rarely reviewed. Along with "energy efficiency," the study in hand reviews the production planning strategies from another green perspective which is "low-carbon emissions." The first objective of this study is to review the medium and short-term production planning approaches from the aforementioned green criteria and provide a classification scheme. Second, new research avenues are identified to facilitate researchers in incorporating green schemes in production planning approaches. This study explored various databases for articles published on green production planning approaches. Consequently, 84 articles published between 2011 and 2022 were considered for the review. This review pointed out that most of the studies on green production planning considered "energy efficiency" and studies on "carbon emissions" were overlooked. Furthermore, green concepts were mostly integrated into the short-term production planning level and comparatively few studies were found for the medium-term. This study will help researchers to analyze green production planning in terms of modeling approaches, objective functions, uncertainties, solution approaches, etc.