Middle-order batsman Bawne hit 11 fours and one six in his 143-ball innings, while Jadhav blasted 11 boundaries in 101 balls down the order as the duo shared 194 runs for the fifth wicket to power Maharashtra to 241 for eight in their stipulated 50 overs.
Electing to bat, Maharashtra found themselves in a spot of bother when Bandaru Ayyappa provided the first breakthrough, cleaning up Swapnil Gugale (3) in the sixth over and then Siva Kumar snapped three wickets -- Harshad Khadiwale (14), Rahul Tripathi (0) and Vishant More (0) -- in the next over to leave them at 17 for four.
Chasing 242 to win, openers Srikar Bharat (28) and Koripalli Sreekanth (74) gave Andra a good start, putting a 51 run partnership before Akshay Darekar dismissed the former and new batsman Prasanth Kumar (0) in the 11th over.
Pradeep and Sreekanth then added another 60 runs before the former was also dismissed by Shrikant Mundhe.
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Sreekanth and Ashwin Hebbar then added another 35 but the Andra team then lost their way as the remaining batsmen were dismissed in less than 50 runs to hand over an easy win to Maharashtra at Palam B Ground, Model Sports Complex.
Maharashtra 241/8 in 50 overs (A Bawne 100, K Jadhav 101; D Siva Kumar 3/24, C Stephen 3/54)
Andhra 194 all out in 42.5 overs (K Sreekanth 74; S Kazi 4/36).