Transition metal compounds, either simple binery ones or complexes, are widely used as catalysts to facilitate various organic reactions. Each catalytic reaction requires specific theoritical explanation. Therefore, I don't think that a general theoriy can be addapted for these types of reactions. In many reactions، the transition metal acts as Lewis acid and can interact with many reacting substrates and this is because the TM compounds have vacant sites for bonding.

Read about the fundamental aspects of catalysis by taking any standard book and try to understand terms such as i)homogeneous and ii) heterogeneous catalysis. Role of ancillary ligands, nature of metal ions, influence of electronic and steric attributes, thermodynamic entities etc. You will automatically understand all aspects of a typical metal mediated catalytic reaction.

Best

Hi,

You may read Modern Physical Organic Chemistry wrote by Eric V. Anslyn and Dennis A. Dougherty, which is a book on organic transition metal catalysis and reaction mechanism.

https://books.google.com/books?hl=zh-CN&lr=&id=gY-Sxijk_tMC&oi=fnd&pg=PR23&dq=eric+v+anslyn+organic+transition&ots=evyDjdImTa&sig=m1GWW5ykl7DkoQzJ96FDf0cZZPc#v=onepage&q=eric%20v%20anslyn%20organic%20transition&f=false