Falken Azenis PT722 would be a good tyre to begin with for your Innova. It offers good traction and a comfortable ride quality. In case you want something better you can choose out of Yokohama C- Drive or Bridgestone Turanza AR20.
Turanza offers longer tyre life as compared to Yokohama C Drive.
They both are pretty good tyres, you can't go wrong with either one of them.
Yokohama Geolandar A/T-S would be recommended for unpaved ,rough and muddy roads.
atul gaharwarvia Google
Pls suggest tyre for duster ps 110.mostly i use in highways ..yet highways are nor in our state are not in very perfect condition.so i need a pattern which suits both cruising as well as soft off roading .
Since the road conditions in your area are not that good, as mentioned by you, going for an All-Terrain tyre would be a good thing. These tyres perform pretty good on highways as well as over rough/rocky surfaces. Yokohama Geolandar A/T-S would be a pretty good tyre in this category.
However, if you think the majority of the usage would be over well paved roads, then go for highway terrain tyres. They offer a very comfortable ride quality along with decent level of durability over rough roads. In this category Falken Wildpeak H/T 01 and Bridgestone Dueler would be good options.