Ask a clear question -- are you trying this on a breadboard and it's not working? Or are you just wondering how the circuit in the article works in theory?
In thoery, when T2 turns on, it effectively connects the cathode of T1 to ground, so it's as if T2 isn't there anymore. So T1 can turn on no problem, especially once T2 has turned on.
If you're trying this on a breadboard and it's not working, post a picture of exactly the schematic you have prepared, and check that your circuit works with a single thyristor to start with, before moving up two two in series.
As others have mentioned, there's absolutely no need or reason to use more than one device with mains electricity.