Cutting and welding machine for producing bags with flexible handle, equipped with a tension control unwinder; flap folding system; folding triangle with edge aligner and bottom baffle; continuous sealer; compensator scale with traction roller; support for various types of devices according to the need of production; servomotor driven tape applicator system for transportation, tape width cut positioning and time control of welding; cutting and welding with side welding head with electronic reduction of the welding time; conveyor belt with cotton straps and automatic stacking table; PLC with touch screen HMI (color touch screen) of easy handling and great location with storage of recipes, system "skip", among other important functions to facilitate the operation and operator integration.