I would get rid of the wipes. I think they are harsh and drying on the skin, especially with all the dragging motions,
Perhaps try something that gives your skin some extra hydration , like Hyaluronic Acid, followed by your moisturiser or add a serum/oil to your routine before moisturiser.
My routine -
Morning - I use a small amount of Simple face wash , rinse with warm water, then I slash with cold water to close pores. I use The Inkey List Q10 Serum, mixed with a little Vit E oil (Burts Bees) followed by Clinique eye cream, then a SPF 50 face cream.
In the evening , I use the Lacura cleanser (from Aldi) with the muslin cloth. It really leaves my skin clean and feeling plump and dewy. I use a blob of the Q10 serum mixed with abit of Nivea soft cream, followed by my eye cream.
About twice a week, I use Vit C serum at night time too.
It sounds like a lot of products, but it’s not really and the routine takes less then 5 mins.