Tbn stands for Total Base No. Think of it as an acid neutralizing capability of an engine oil. Normally, as the fuel is combusted in the combustion chamber, oxidation takes place and this leads to a rise in the acid levels in an engine oil which is measured as TAN (total acid number) in an engine oil analysis. As long as the TBN of an oil is higher than TAN, the oil is safe to use.
However, this value is of more concern in diesel vehicles as due to the presence of high amounts of sulphur(sulphuric acid) in the fuel. Modern day fuel efficient petrol and hybrid cars don't need that high of a TBN since it can do more harm than good.
High Tbn also leads to high ash content (uncombustible matter) in the combustion chamber that can potentially lead to a clogged catcon, deposits on piston and valves, inc fuel consumption, inc oil consumption etc.
I think it's not a good idea to compare the valvoline 5w30 with total 5w30 on TBN levels when usage will be a petrol corolla or a hybrid vehicle. The difference isn't that great I would choose either. But, if the intended vehicle was a diesel I would definitely choose the valvoline if the choice was amongst just these two.