A web product cutting and screening machine operable to cut a web product and to screen cut pieces of said web product, comprising: a first conveying unit comprising a first movable roller set that is movable between a conveying position and a non-conveying position; a second conveying unit comprising a second movable roller set disposed adjacent said first movable roller set and defining with said first movable roller set a first gap therebetween, wherein said second movable roller set is movable relative to said first movable roller set between a conveying position and a non-conveying position and said web product is delivered from said first movable roller set to said second movable roller set when said roller sets are in said conveying position; and a cutter movable to cut said web product in said first gap when said first and second roller sets (211, 231) are in their respective conveying positions, wherein said first movable roller set and said second movable roller set are selectively moveable between the respective conveying and non-conveying positions to permit selective positioning of i) said first movable roller set and said second movable roller set in said conveying positions to set a width of said first gap to a first size, ii) said first movable roller set in said conveying position and said second movable roller set in said non-conveying position to increase the width of said first gap to a size greater than said first size, and iii) said first movable roller set in said non-conveying position and said second movable roller set in said conveying position to increase the width of said first gap to a size greater than said first size to permit screening of web product severed by said cutter and conveying of web product from said first conveying unit to said second conveying unit. a first conveying unit comprising a first movable roller set that is movable between a conveying position and a non-conveying position; a second conveying unit comprising a second movable roller set disposed adjacent said first movable roller set and defining with said first movable roller set a first gap therebetween, wherein said second movable roller set is movable relative to said first movable roller set between a conveying position and a non-conveying position and said web product is delivered from said first movable roller set to said second movable roller set when said roller sets are in said conveying position; and a cutter movable to cut said web product in said first gap when said first and second roller sets (211, 231) are in their respective conveying positions, wherein said first movable roller set and said second movable roller set are selectively moveable between the respective conveying and non-conveying positions to permit selective positioning of i) said first movable roller set and said second movable roller set in said conveying positions to set a width of said first gap to a first size, ii) said first movable roller set in said conveying position and said second movable roller set in said non-conveying position to increase the width of said first gap to a size greater than said first size, and iii) said first movable roller set in said non-conveying position and said second movable roller set in said conveying position to increase the width of said first gap to a size greater than said first size to permit screening of web product severed by said cutter and conveying of web product from said first conveying unit to said second conveying unit.