Personally, I like to toss mulch or manure on top of the stems before frost, and if I'm lucky, in the spring, the stalks will still be green, and hopefully rooted. I cut lose the green stems, and set them out in new beds... Instant new section of lantana!
At my house, leaving the old dead stalks helps to prop up the new stems, giving desired height to the bush sooner...
In my area, the prevailing wisdom is that if you cut the stems in the autumn, those hollow stems fill with moisture... which freezes and potentially kills the shrub.
You all are trying to grow lantana as a potted plant?
You know that if planted in the ground...It shouldn't need any extra watering... It's taking over Austrailia....
https://www.environment.gov.au...