The first thing I would do is insert a base resistor as suggested above (between the base of Q1 and the collector of T1).
The next thing I would do is remove the LDR. The LED should turn on. If it doesn't then you may have wired something up incorrectly.
Check very carefully that you have selected the correct transistors, they are in the right place, and that you have identified base, collector, and emitter correctly. These are probably the easiest things to muck up.
What voltage is your power source?
Incidentally, we would normally designate transistors as either T or Q, so you would have T1 and T2, or Q1 and Q2. This is a minor point -- since they do have different names and designations so it's not confusing (just odd).