Sri Lanka were skittled out for just 95 on the final ball in their opening match of the tri-series on Thursday, with Evans their chief tormentor, taking 3-9 while no less than six bowlers all claimed wickets.
Zimbabwe had earlier posted 8-162 after being sent in to bat, with Raza making 47 off 32 balls and opening batter Brian Bennett 49, just missing out on a second successive half-century.
"You want to be there when the chips are down and be prepared to do the dirty work for the team," Raza said. "If I'm trying, I feel my team is going to try."
Sri Lanka are enduring a horrible white-ball tour of Pakistan, having lost the ODI series 3-0 to the hosts before embarking on the tri-series.
Sri Lanka didn't get any momentum once they lost Pathum Nissanka for a five-ball duck.
Kusal Perera top-edged fast bowler Tinotenda Maposa as they limped to 2-25 inside the batting powerplay. Captain Dasun Shanaka (34) was one of just two Sri Lankans to reach double figures.
"The intent was not there from the beginning," said Shanaka, who was made captain for the tri-series after Charith Asalanka returned home unwell. "We cannot accept this with the players and experience we've got."
Bennett and Raza put up a spirited fight for Zimbabwe in the opening loss to Pakistan and featured again on Thursday.
Bennett began with three off-side boundaries in the second over, and combined with Raza in a 61-run stand.
Raza perished in the death overs, brilliantly caught by Shanaka at wide long-off, but Zimbabwe flogged 46 off the last five overs.
