Q.Why Does My Spider Plant Have Woody Type
Why does my spider plant stick look woody?

Certified GKH Gardening Expert
You may be referring to the runners that produce the baby plantlets. Spider plants reproduce this way, sending out long, round stems that can reach 2 feet. Flowers are produced on the stem, followed by a plantlet. Here are care tips:
https://www.gardeningknowhow.com/houseplants/spider-plant/spider-plant-care-gardening-tips-for-spider-plants.htm
https://hort.extension.wisc.edu/articles/spider-plant-chlorophytum-comosum/