The prolific goalscorer netted in Tuesday night's pre-season friendly against King`s Lynn Town reserves after signing from league rivals Deeping Rangers.
Cameron Johnson also grabbed two goals in the 3-1 win at the DWB Stadium.
Coupland was Deeping's top scorer last season with an impressive tally of 44 goals.
Greene will be hoping he and Johnson will form a lethal partnership for the Poachers.
Coupland notched more than 120 goals in just three seasons for Deeping after joining them from Sleaford Town.
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