A name would be helpful...
most evergreens are propagated in the fall/winter.
some require "special cutting" as with a heel OR from lower branche or the growing tip at the top of the plant or......

redshift - evergreens are not all in one 'family' so without knowing what your plants are it is hard to advise. Some evergreens are easy from cuttings and some much more difficult. Some, like camelias or conifers, require fairly fiddly techniques. Whereas box and cherry laurel will root easily. If you can take a photo and post it on the Name that Plant Forum you will almost certainly get a quick id.