Try picking some hanging dead branches, they are off the ground so are not soaked through. Then make feather sticks with them, you get to the dry wood in the middle. Make lots,and lots, of feather sticks and use them to dry out the next lot of sticks. You can, though it isn't easy, make a couple of very fine feather sticks to take a spark with a firesteel(ferro rod!). The real trick is preparation, prepare twice as many feathersticks and dry twigs as you think you need then double the amount!!
You know about the fire triangle?
You need fuel, oxygen and heat to make fire. Fuel isn't usually a problem, Oxygen is always around, the really rare resource is heat!
When using wet or damp wood the heat gets used up turning the water to steam rather tahn heating up the next piece of fuel, so more heat is needed to keep the fire going.
Treat the heat as a resource and think about the relative surface area of the fuel. The more surface area there is the easier and more efficiently the heat is transferred, making feather sticks,or shavings, gives you more surface area to work with. It also dries out quicker, a towel left in a heap won't dry out but draped over a rail or line, giving it more surface area, it can dry out pretty quick.
I am probably teaching you to suck eggs a little, used to teaching this to scouts and absolute beginners
, but the important points are
SURFACE AREA!! and HEAT is your most precious resource!