FT-IR gives you information mainly on the rotational and vibrational properties of a material. If the material you are measuring contains a certain bond, which is excited by a certain IR wavelength you will see it.
Therefore it can help you identifying compounds, alloys, molecules... You compare the spectrum you measured with the one in the literature and you see if it's the same material. This could help you to check if your synthesis was performed properly. In inorganic chemistry, this is a powerful tool to identify functional groups, so understand better what you synthesized. Once you have your spectrum you need to compare it with a database to identify each peak.
NMR gives you information on the coordination of a certain atom present in your compound. For example, you can test how much of a particular element is bonded with another, and in which coordination it is. Also in this case, once you collected the spectrum you need to look at the literature on that element to understand what corresponds to a certain peak. The great advantage of NMR is that, with limited peak superposition, it is a semi-quantitative analysis, and that it's relatively easy to perform. Unfortunately, the analysis is very long for certain elements, according to the isotope distribution.