The primers that I designed initially had Tm values of 54.26°C (Fwd primer) and 45.53°C (Rev primer) before I added the restriction sites. After I did that, however, I managed to get the Tm adjusted to 68.59°C and 69.54°C for both the forward and reverse primers respectively. This was done using the Primer-Blast tool. I do realize that the difference in the Tm value is quite large, but I'm not sure whether this will severely affect the PCR.
Would I have to set a lower annealing temperature for a few cycles first before increasing it to the Ta for my complete primers (including the restriction sites)?