The main purpose of this paper is to make integration between the job-matching theory and the efficiency-wage theory in a two-sector general equilibrium set-up. We consider two types of labour: high-skill and low-skill. We assume unemployment of both types of labour. We find that frictional wage cannot be determined within the firm if job destruction rate is exogenous. However, it may be determined within the firm if such rate is inversely related to the worker’s efficiency. Our comparative static results show that under reasonable condition trade reforms may lower aggregate unemployment in both cases where job destruction is exogenous as well as endogenous. On the other hand, labour market reforms may lead to ambiguous effects or does not have any effect on aggregate unemployment when job-destruction is inversely related to work’s efficiency. This is quite interesting and hardly found in the standard literature on trade and unemployment.