Mumbai Indians have now defeated Chennai Super Kings four times in IPL 2019.
In the penultimate game of the season, CSK beat Delhi Capitals rather convincingly to storm into yet another final.
Young Delhi Capitals now stand second in the points table.
RCB became the first team to be knocked out of the tournament this year.
Rajasthan now stands on the sixth position in the points table.
Bairstow and Warner added 131 runs for the opening stand to script SRH's 9-wicket win.
Chasing a modest total of 161, the Royals were finely guided by their new skipper who remained unbeaten on 59 to see his side home with 5 wickets in hand.
MI certainly managed to avenge their previous loss against DC with a thoroughly convincing win in Delhi.
The KXIP batsmen couldn't press the accelerator in the hour of need.
Mumbai Indians handed the Chennai Super Kings their first defeat of the season.