Hello, I have a question here, how are you sure that your fragment has been amplified? did you use any kind of control? 

Since PCR/qPCR can only amplify DNA sequences (by definition) - you apparently have some kind of DNA contamination that is being amplified by your assay here.

I am getting qPCR positive results with dsRNA as the template, and amplicon sequence matching the target. Seems like Genomic DNA contaminations though I am using the RT primers on Exon-Exon boundary. 

Psuedogenes (which are mRNA sequences; albeit in the genome as DNA) are the other possible culprit(s) of this:  something that primer design cannot discriminate for. Good DNase treatment would be absolutely necessary here if you have a pseudogene problem.

Double DNAse treatment could give better result .  First, On column digestion which will reduce the amount of gDNA then DNAse treatment in solution to further reduce the gDNA (Mentioned in this article-->Quantication of mRNA using real-time RT-PCR). Btw, It is not possible to completely digest the gDNA. Since, dRNA is acting as template this could be because You have used random primer to make the cDNA. Logically, if dsRNA don't have the poly A tail then it should not convert into cDNA. oligo-dT primer might help in this scenario or target specific primer.

@ Salim, I am not converting dsRNA into cDNA, rather than doing PCR using dsRNA itself and quite surprised to get amplification though I am using PCR strand to generate dsRNA rather than gDNA/cDNA.