This EGR tube/burning issue seems to be a common problem in these models. Probably the wires melting caused a short in the starting system. If the car tries to start, the engine is turning over but won't catch. I think that's what you tried to say? In this case, check for spark and fuel pressure.
If the engine doesn't turn over, meaning the engine doesn't make any sound or movement and you hear a click or series or clicks, than the problem is with the starter motor or the starting system.
Now, replacing the EGR tube is a bit tricky because of the space in this model. However, with the right tools and a bit of elbow grease, you may be able to do it. This other video may help you here: