Hello. First, check if the primer is designed for the reference gene sequence or not. Finally, whether it is for the reference gene sequence or other strains, search the desired gene sequence in NCBI and save it in Fast A format. Then find the forward primer sequence directly on the gene sequence. To find the reverse primer, you must first reverse and complement it and then find it on the original gene sequence
Here are the instructions: https://www.ncbi.nlm.nih.gov/guide/howto/design-pcr-primers/
So, first you find the Fasta sequence of your gene here: https://www.ncbi.nlm.nih.gov/gene/
Then you go to Primer Blast: https://www.ncbi.nlm.nih.gov/tools/primer-blast/ and there you paste both the gene sequence and the primer sequences. When you provide both the primers and the target sequence it also looks for other possible templates, by default in the human genome. Be patient, it may take a while. Your primers are fine (I haven't checked your TaqMan probe).