The 4 layers of the large intestine from the lumen outward are the mucosa, submucosa, muscular layer, and serosa. The muscular layer is made up of 2 layers of smooth muscle, the inner, circular layer, and the outer, longitudinal layer. These layers contribute to the motility of the large intestine.

The appendix is made of an inner mucosa layer just like the rest of the digestive tract and is also known as the vermix or the cecal appendix.

The ileum is entirely covered by serosa from the outside. It is made up of simple squamous epithelium and a connective tissue layer underneath (lamina propria serosae). A characteristic feature of the ileum is the Peyer’s patches lying in the lamina propria of mucosa and in the submucosa.

References:
Digestive System. (2021 April). Health Direct. Retrieved from https://www.healthdirect.gov.au/digestive-system

Azzouz, L. L. & Sharma, S. (2021 August 9). Physiology, Large Intestine. National Center for Biotechnology Information. Retrieved from https://www.ncbi.nlm.nih.gov/books/NBK507857/

Cheriyedath, S. (2019 June 28). What is Appendix. News Medical & Life Science. https://www.news-medical.net/health/What-is-the-Appendix.aspx

Karunaharamoorthy, A. (2022 March 1). Ileum. Kenhub. Retrieved from https://www.kenhub.com/en/library/anatomy/the-ileum