Mark Owen again went close to doubling United's lead when his shot was diverted for a corner a minute after the restart.
Shouts for a penalty were turned down when Lutz appeared to be shoved in the box a United poured forward.
Wood made space and then sliced a shot wide while Owen took advantage of an error at the back only to shoot narrowly wide from 18 yards.
Berkhamsted's first attack of the half saw a shot from Chris Davies deflected on to the bar and Evesham didn't heed that warning when Greg Walsh levelled after 62 minutes.
The scorer then saw another effort hit the woodwork as United's defence again lost concentration.
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