We are seeing our workplace digitally evolving with more and more processes now being completed using technology; this is all because of Industry 4.0. Industry 4.0 is all about connectivity, and it is an opportunity to revolutionize how the industry responds to societal requirements. The introduction of technology into the industry is evolving towards a sustainable digital supply chain in the face of increasing complexity. The benefits of Industry 4.0 technologies in improving various supply chain performance measures have been well described theoretically and established in the existing literature. However, no integrated model compares available technological options in different supply chain stages and shows the impact in quantitative terms in cost, traceability, flexibility, agility, and other metrics. This study aims to quantify the benefits of implementing these technologies in the supply chain through multi-objective modelling. The objective of the study is to minimize the overall transportation cost function and carbon emissions due to transportation for minimal adverse effects on the environment. We begin by proposing a sustainable logistics model that considers various vehicle types such as with GPS and Smart vehicles and carbon emissions associated with product transportation. With the robust optimization approach, the methodology seeks to consider technological implementation at every stage of forward supply chain. We deploy our model to a sample toy dataset to analyze the administration of technology. Findings suggest that industry 4.0 technology would be effective for supply chain performance parameters, resulting in sunless carbon discharge with a comparative increase in the operational cost.