The objective of this study is to analyze the dame propagation under the interaction between fluid mechanics and chemical kinetics in a counter shear layer. First, a large-scab Kelvin-Helmholtz instability is triggered by initially-imposed linear perturbations to form a multi-stratified vortical layer. Second, mixed reactants in such a stratified Vortex are ignited by local energy addition where dame propagation under the effect of instability is observed. Three different ignition locations are selected to examine combustion efficiency. The ignition in a vortex core shows a 1.7 times CO2 productivity in comparison with the ignition in a braid region: The most advantageous ignition position for CO2 productivity is the vortex core region where the mixture strength is high and the flammable mixture spreads rapidly. Once formed, a wrinkled diffusion flame propagates through the multi-stratified mixture, destroying the initially existing vortical structure. In addition, a Lewis number analysis in the vicinity of dame region shows dame instability and local extinction.