If the Drake II or Cadet is already installed, consider increasing the gallons of the flush. Try holding the lever down longer to prevent the flapper or tower from closing at the regular time.
If that does it for you, and it has a tower, see toto tower adjustment
https://terrylove.com/forums/index....d-i-have-to-hold-the-flush-lever.56174/page-2
If it has a flapper, consider an adjustable flapper.
If holding that handle down does not do it, that pressure assist sounds like the cool tool.