Evesham started strongly and Cirencester had to weather the storm as the home side could easily have scored three times in the first ten minutes.
On 12 minutes after defending an Evesham free kick the visitors broke quickly down the right through Tommy Anderson who crossed to the back post for Henry Spalding to finish with a low accurate drive.
In the 32nd minute Cirencester broke down the Evesham right wing and Louis Spalding crossed for Ben Whitehead to head home at the near post.
Former Cirencester Town captain Mat Liddiard pulled one back for Evesham two minutes before half-time heading home an Adam Mann free kick.
Five minutes after the interval a speculative volley by Adam Connolly was re-directed by Whitehead to put Cirencester 3-1 up.. Despite Whitehead standing in an offside position the goal stood despite the home side’s protests.
On 58 minutes, Connolly found Henry Spalding in loads of space and he carried the ball to the edge of the home area before tucking it under an advancing Sawyer.
It was 5-1 in the 75th minute when another defensive lapse left Whitehead to finish with ease for his hat-trick.
Louis Spalding was then sent off for a second yellow card and Liddiard scored his second of the game in the 92nd minute, but it was too little too late for Evesham, who were well beaten.
It was the second biggest league defeat at the Jubilee Stadium, however Evesham remain in the play-off positions.
Evesham United: Sawyer; Dovey, Wellon, Lewis; Bryan (Dunbar 67), Haskayne, Liddiard, Turley (Hancock 78), Binns; Brown (Powell 62) Mann.
Subs not used: Corrick, Bennett.