Current research highlights the great potential of Large Language Models (LLMs) for constructing Scholarly Knowledge Graphs (SKGs). One particularly complex step in this process is relation extraction, aimed at identifying suitable properties to describe the content of research. This study builds directly on previous research of three Open Research Knowledge Graph (ORKG) team members who assessed the readiness of LLMs such as GPT-3.5, Llama 2, and Mistral for property extraction in scientific literature. Given the moderate performance observed, the previous work concluded that fine-tuning is needed to improve these models' alignment with scientific tasks and their emulation of human expertise. Expanding on this prior experiment, this study evaluates the impact of advanced prompt engineering techniques and demonstrates that these techniques can highly significantly enhance the results. Additionally, this study extends the property extraction process to include property matching to existing ORKG properties, which are retrieved via the API. The evaluation reveals that results generated through advanced prompt engineering achieve a higher proportion of matches with ORKG properties, further emphasizing the enhanced alignment achieved. Moreover, this lays the groundwork for addressing challenges such as the inconsistency of ORKG properties, an issue highlighted in prior studies. By assigning unique URIs and using standardized terminology, this work increases the consistency of the properties, fulfilling a crucial aspect of Linked Data and FAIR principles - core commitments of ORKG. This, in turn, significantly enhances the applicability of ORKG content for subsequent tasks such as comparisons of research publications. Finally, the study concludes with recommendations for future improvements in the overall property extraction process.