At stumps on the first day, Uttar Pradesh were 18 for no loss in six overs, with Tanmay Srivastava and Mukul Dagar at the crease.
Medium-pacer Ankit Rajpoot starred with the ball returning figures of four for 62, while Piyush Chawla picked up three for 78.
Bhuvneshwar Kumar finished with two wickets after his side opted to field on winning the toss at the Green Park stadium.
After a disastrous start, skipper Rayudu along with Kedar Devdhar (65 off 123 balls), 104 runs for the fifth wicket to steady the innings.
Rayudu hit 13 fours and faced 137 balls, while Devdhar struck eight boundaries in his 123-ball knock.
Brief scores:
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Baroda 1st innings: 254 all out in 83.3 overs (Ambati Rayudu 85, Kedar Devdhar 65; Ankit Rajpoot 4/62, Piyush Chawla 3/78).
Uttar Pradesh 1st innings: 18 for no loss in six overs.