I would strongly recommend you check out
theweatherprediction.com to understand how to forecast tornadoes. The person who authored that site does a pretty good job explaining a lot of things to people who don't know a lot about the subject already. He even wrote quizzes and questions to test your understanding.
More fundamentally, there are
four ingredients that are needed for severe storms to occur. In no particular order of importance (because even if you have three out of the four you still won't get tornadoes):
1) Moisture: clouds are nothing but condensed water vapor. You need moisture not only to get clouds and storms to form, but gaseous water vapor is also less dense than dry air. More moisture leads to greater instability.
2) Energy/instability: CAPE is used most frequently as a means to measure the amount of energy and instability. Simply put, parcels need to have CAPE. No CAPE, no storms. The more moist a parcel is, the greater chance it will possess CAPE, and the more CAPE it will possess.
3) Lift: even the wettest, most unstable air parcel may not form a massive thunderstorm if there is no way to access or realize its CAPE. There's a reason it's called CAPE - the PE stands for
potential energy. You need lift to convert that potential energy into kinetic energy. That is to say, an unstable parcel must be lifted to its level of free convection (LFC) in order for a thunderstorm to form. Lift comes from a variety of sources: fronts, PVA, WAA, orography, and other non-frontal convergence. If identifying fronts or other lifting mechanisms on surface or upper-air maps is something you don't understand well, theweatherprediction.com will help you with that.
4) Vertical wind shear: although storms can form without wind shear, you need it for storms to organize into supercells. While tornadoes can form from non-supercell storms, the vast majority of tornadoes, and nearly 100% of strong to violent tornadoes, form from supercells. If you want to forecast the occurrence of a tornado, you really just need to forecast the likelihood of supercell formation. Keep in mind, however, that strong low-level wind shear (i.e., in the lowest 1 km or so), strong low-level CAPE (i.e., high 0-3 km CAPE), and low lifting condensation levels (LCLs) have been linked to enhanced probability of tornadic activity from supercells that form. However, the science has not yet advanced to the point where it can reliably forecast tornadoes using standard observational and modeling networks, as some supercells in highly sheared and strongly unstable environments do not produce tornadoes whereas others do. Theories explaining this behavior have only begun to emerge within the last 10-15 years. Despite the emergence of these theories, again, the observational and modeling capabilities do not yet exist to reliably predict tornadoes explicitly.