As I said who cares what you believe. If you have eyes you can see the matches live on your TV sets that's if you have one. Check the rights were from June 2014 not January 2014 when the Sri Lanka series was held.
Star Sports did not show the Zimbabwe Bangladesh series as that time there was India international and domestic cricket on.
You can continue watching till 2020 to see if Stat Sports have the rights or not.
Fyi since you are a novice in dealing of sports rights, only if there is a press release either from the rights holder or the broadcaster will anyone come to know what rights which channels have. If not then the viewer has to watch the event on that particular channel to see which channel has the rights. There are several properties for which no press release is issued and no so called "proof" which you are asking for. The biggest proof is that you can watch that particular event on that channel.
So as I said believe it if you want to, since who cares if you don't believe. I don't and neither do the members of the forum.