Non-uniform routing architecture contains routing channels of different widths. In this paper we propose a design methodology of domain specific non-uniform programmable routing architecture for embedded programmable IP cores. This non-uniform architecture is based on symmetrical FPGA model and consists of connection boxes of full connectivity and rectangular switch boxes. The rectangular switch box is derived from universal switch box module. Area and timing efficiency of the proposed architecture is compared with those of uniform architecture based on placement and routing result over a set of MCNC benchmark circuits. The comparison results show that non-uniform routing architecture gains up to 8% layout area reduction from uniform ones. Besides, by widening some of the routing channels where routing congestions accumulate, the average critical path delay of non-uniform architecture is 8% less than that of uniform one while maintain the same area.