WHich one below is right?

Farmers are likely to shoot any dogs "on sight".
or-
Farmers are liely to shoot "on sight " any dog.

Does the latter one make sense?
pleas let me know

your second one would avoid what I understand is called 'splitting the infinitive' but the first is actually what somebody is much more likely to say eg. come round here boy, and I'll shoot you on sight.
I think 'shoot on sight' was a military command that has got into the mainstream - like "Fire At Will!" - poor sweet William...

Both are correct. Neither splits the infinitive ("to shoot') which is a trivial grammatical infraction in any case.