How you pack a tent really depends on the type of tent you own. I have a single walled Tartpent Contrail and this is how I pack it.

I have replaced the stock tent pole with a custom one that breaks down into sections that will fit inside my saddlebag see here

​​​​​​https://www.questoutfitters.com/tent_poles.htm

I put the pole sections and tent pegs at the bottom of my saddlebag. I then put the tent fly into a small compression sack so that
I can really reduce the packed volume and that then fits nicely in my saddlebag next to my sleeping bag which is also in a compression sack.