The continuous increase in air traffic compels major airports to optimize their resources and enhance their Terminal Maneuvering Airspace (TMA) operations. The primary constraint to increasing airport capacity is the required separation minima between pairs of aircraft arriving through the same approach routes. RECAT-EU is a revised global wake separation minima scheme released by EUROCONTROL in 2018. This suggested a reduction in separation minima between certain aircraft pairs while maintaining safety levels. However, it increases in separation minima scheme complexity by doubling the number of non-minimum radar separation (MRS) values. In this work, a Meta-Heuristic based optimization model is proposed to sequence arrival flights based on the RECAT-EU separation scheme, which can provide an optimized vectoring to ensure flights absorb their assigned delays before reaching the final approach fix. Findings show that the proposed model is able to generate an optimized landing sequence for 50 arrival flights in a computation time of 16 seconds. It also suggests that the proposed algorithm's computational time increases linearly with increasing the number of flights. Furthermore, trajectory vectoring results demonstrate that 85% of the assigned delays could be absorbed by flying the proposed vectored trajectories.