Well good on him for sneezing as SPF in moisturiser is useless and offers little to no protection (certainly not the advertised amount). Anyhow, basic routine would be the same for a man as a woman (who doesn't wear makeup):
AM:Cleanser (preferably a gentle cream based one), Moisturiser, separate SPF
PM: Cleanser (preferably an oil based one), Moisturiser
Don't use either cleanser in the shower, water is too hot, sink with tepid water is your friend. Oil cleanser goes on dry skin, cream on slightly damp. Clean flannel every day.
That's it really, if he shaves he gets a bit of exfoliation in otherwise it's worth considering getting an (AHA) acid toner in (though might be worth it for the rest of the face anyhow if he has a lot of dry patches).
BHA if he has blackheads/breakouts/oil control issues.
If he has anti-ageing concerns, a Retinol and Vit C.
Possibly an HA hydrating toner if he's dehydrated (most of us are but he might just be lucky).
Get the basics sorted before attempting any of the additional stuff, introduce everything gradually, 1 product per 2 weeks (cleanser is a quicker assess and along with SPF should be the first things sorted) cease to use with any signs of irritation and start again with a new product. Avoiding fragrance, essential oils, alcohol (den. - fatty ones are fine), and mineral oil tends to help with avoiding the more common irritations.
Purging can happen with acid toning but should not persist, it takes 6 weeks to truly evaluate the effect of any product, longer still with anti-ageing ingredients.
LRP should suffice for the basic routine. The Ordinary and Nip+Fab/Bravura/Paula's Choice for the rest.