This document presents a novel methodology for task distribution in heterogeneous reconfigurable computing systems (HRCS) using the Minimum Laxity First (MLF) algorithm, developed to enhance performance in modern embedded systems utilizing FPGA and soft core processors. The MLF algorithm dynamically schedules tasks based on their attributes and computing resources, and is implemented on a Virtex 5 FPGA platform for applications like JPEG and OFDM transmitters, showing superior resource utilization compared to traditional static scheduling methods. The paper outlines the task distribution model, literature review, problem formulation, and performance evaluation, concluding with a discussion on the efficiency of the proposed approach.