ASAP how late will my period be? if I took 2 pills the same month?

There's no way of knowing, as everyone is different. Some women who take two in the same cycle, wait weeks or months for their period.

If you were ovulating when you used Plan B, it may not have worked (although there is no guarantee it will work at any time). The only emergency contraceptive pill proven can prevent pregnancy during the 24 hours around ovulation, is Ella (Ulipristal Acetate), & even that isn't guaranteed. You can see that on the Manufacturer's website.
However, the ovulation date on your app may have been incorrect, due to the first Plan B delaying things. It's impossible to know for sure, though.

I would test each week from when your period would be due, if it's late, so you know early, if you are pregnant.