Question: Please suggest some online study programmes (master degree) from recognised universities in india.?

When the requirement is states as an Honours degree what it really is saying is that you have to have at least a 1 year research degree (that is an Honours in Australia - coursework is part of your Bachelors and then you apply for a research year and thats your Honours). Honours is where you prepare a research project, work on it with some supervision but mostly on your own, prepare the results, write the journal article etc. In order to be accepted into a PhD program where in many departments you are left to your own devises with only cursory supervision (1-2 meeting a week nothing else) you need to prove that you are capable of doing this. A standard BTech degree might have a short research project as part of a single subject but that is very different to having an entire year of only a research project to occupy yourself.