Though this is totally off-topic, I can not resist the urge to intervene.
1. The map shown for Maratha empire does not seem to be legitimate. Aurangzeb died in 1707. The Mughal empire had reached its apex during his reign. Only small area along the South Indian coast remained out of direct imperial control. So, the dates and the geographical extent shown on the map are wrong.
2. Marathas were essentially raiders who extracted tribute. They had little interest in establishing a sound administration without which empires can not exist. The map probably shows the greatest extent of their influence, not control. In any case one can not argue about inclusion or exclusion of such an ephemeral entity.
3. The map seems to show Mysore under Maratha influence. I greatly doubt it on account of Haider Ali and Tipu Sultan's valiant defence and expansion of kingdom (by Haider Ali). We know that the English defeated Tipu Sultan and wrested the control of kingdom of Mysore.