Can anyone suggest me a method to compare (with the parameters should use) and filter trancripts which are mutual to two different transcriptomes with higher precision.
Depends how you have those transcriptomes described... If those are already GTFs on the same genome: cuffdiff. If those are two RNA-seq experiments on different species - cross-map them and quantitate. If you need many-to-many blast on transcript sequences, likely you need a script, perhaps biopython would be good.