Left-handed opener Dhawan, who suffered a hand injury during the first Test against Sri Lanka and missed the remainder of the series, will lead the India A team in the three-day game against Bangladesh.
Raina, who recently practised with the Dutch cricket team in the Netherlands, has been included in the One-day squad, which will be led by young Unmukt Chand.
Prolific southpaw Raina has not played competitive cricket since Bangladesh ODI series in June.
The three ODIs (September 16, 18, 20) will be played in Bangalore and the three-day game will be played at the same venue from September 27th.
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The three-day game against Karnataka will be played in Mysore from September 22.
ODI Squad: Unmukt Chand (Captain), Mayank Agarwal, Manish Pandey, Suresh Raina, Kedar Jadhav, Sanju Samson, Karun Nair, Kuldeep Yadav, Jayant Yadav, Karn Sharma, Rishi Dhawan, S. Aravind, Dhawal Kulkarni, Rush Kalaria, Gurkeerat Singh Mann.
Three-day match Squad: Shikhar Dhawan (Captain), Abhinav Mukund, Karun Nair, Shreyas Iyer, Baba Aparajith, Naman Ojha, Jayant Yadav, Vijay Shankar, Ravindra Jadeja, Shreyas Gopal, Abhimanyu Mithun, Varun Aaron, Ishwar Pandey, Sheldon Jackson.