This site attempts to provide a forecast for 130 countries, India included, and provides information on both sources and methodology. The data appears to be refreshed regularly, so it isn’t stale. https://covid19.healthdata.org/india?view=total-deaths&tab=trend
Maybe it will be of help to you.
The policy briefing file is pretty useful, a useful summary and then a bunch of neat graphs. (I’ve been jealous of Zvi’s posts on Covid-19 in the US for quite some while, and this is probably the closest we’ll get for India.) They also include comparison with other model projections from different groups at the end, which gives some other possible projections to look at.