Moonbeam correopsis need not be cut back until spring unless you want to. I never cut mine back until them because I want them to catch the snow for winter protection. However they will send up new shoots in the spring so suit yourself. They will not bloom again on this years growth--this years growth will die off. They are rather late coming up in the spring --about 3 weeks later than other things--so wait a while before you dig them out. I'm in a much colder zone than you and I haven't lost one yet.

I grow Zebrina as an annual in my zone--it's too cold for they to winter over. After they put out the first flowers and are making more seeds than flowers I cut them down past the seeds. They send out new shoots with more flowers. There are always enough seeds to make plants for the next year and I don't have an excess of seedlings coming up. You can cut it down for winter or just pull it and let the seedlings winter over. It's up to you