Despite an excellent century from Freddie van den Bergh, three wickets in the morning session from Evans helped dismiss the visitors for 229, trailing Karl Krikken’s side by 207 runs.
Redfern top scored for the hosts in their second innings, hitting six fours and two sixes in his 91, as Derbyshire declared on 224-4 – with Tom Poynton last man out for 77.
Evans claimed a late wicket to leave Durham MCCU 28-1 after 9 overs at the close, still trailing Wes Durston's side by 404 runs.
The Derbyshire bowlers enjoyed a successful morning claiming four early wickets – with the pick of the bowlers Evans claiming three in quick succession to help reduce the visitors to 69-7 after 22 overs.
After the 24-year-old dismissed Luke Patel with his first delivery, Jonathan Clare bowled Chris Purshouse for one, before Evans removed Ollie Steele for two and Chaitanya Bishnoi for a well-made 27 to finish with figures of 4-35 from his 11 overs.
Nat Watkins and van den Bergh, however, developed a timely partnership adding 55 runs before Alex Hughes found the breakthrough with his fourth delivery, as Watkins was well-caught by Poynton behind the stumps for 20.
Surrey professional van den Bergh remained firm and completed his half century from 74 balls just before the interval, as Durham MCCU entered lunch on 160-8.
Peter Burgoyne had Matt Milnes caught by Durston for 25 shortly after the restart, but van Bergh continued his impressive innings and duly completed his century from just 110 balls – including 11 fours and five sixes.
The 20-year-old was the final man out for 106, as Burgoyne claimed his third wicket - to end with figures of 3-43 from 16.3 overs – to dismiss Durham MCCU for 229.
Despite losing Billy Godleman for 10 from as many balls, Redfern and Paul Borrington built a solid 90-run partnership inside 20 overs, before the latter was caught and bowled by van den Bergh for 29 with Derbyshire on 104-2.
Redfern, hitting six fours and two sixes, moved onto 91 from just 110 balls, before he was trapped lbw by Bishnoi.
Poynton was the last man out for 77 from 77 balls - including 10 fours and a six - before Derbyshire declared on 224-4, a lead of 432 runs.
Evans was again amongst the wickets after the restart, removing Jones with his third delivery, as Durham MCCU ended Day 2 on 28-1, trailing by 404 runs.
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