What is the size that you want and what are the approximate sizes of the amplified product in your rtpcr. If the lower band is small (less than 100bp) then it could be primer dimer but if they are both large bands then one possibility is that genomic dna is also amplifying along with the cdna. If it is the higher band that you want then it appears to be amplifying less well at high temperature and using a higher annealing temp may work but he answer may be to design primers. If the lowerband is primer dimer than using less primer and a hot start taq may solve the problem. Is your GOI one of a family of similar gene sequences or does it have pseudogenes that may be amplifying?

Thanks for the picture, next time you should include a ladder so you know what size bands you got.

As someone who's designed a few qPCR experiments, my gut feeling is that you need to toss these primers & design new ones. The "best case" scenario is that the 50-60 annealing temp is giving one band you want + primer dimers.

Many primers simply do not work well for qPCR. Good primers are ones that give robust, bright single bands at all annealing temps & don't give dimers.

Primers are cheap, order a few more pairs.

Good luck!

Depending on the gene structure and the location of your primes these may also be splice variants. You may sequence the amplification products to better understand what you are amplifying, genomic DNA, pseudogene, splice variants of your gene of interest,...

How about trying to increase the annealing temp even more? As long as you get any amplification, you're obviously not at the limit of the PCR.