What are some makeup application tips for mature/aging skin? 

Women tend to have more delicate and sensitive skin. Additionally as we age, skin is affected by fluctuating hormone levels.
Generally it becomes more dry, thin, and has less elasticity allowing fine lines, wrinkles and loose skin to develop.
Makeup is still important, maybe even more important than ever, but a less is more approach is needed. Use a foundation that gives a light coverage, and concealer only where needed – instead of trying to achieve maximum coverage with one product that covers everything. If your skin is a little on the dry side, avoid too much powder as it can make the skin look even more dry.

What are some skin care routine tips for mature/aging skin? 

Hopefully you already have a good skin care routine in place and as your skin matures you just adjust it as needed. The basics, cleanse, tone, and moisturize, never change. The products you use may change however, and you may add serums or anti-aging treatments to your regime. Also, if you’ve always used soap and water or a foaming or gel cleanser you may find that a lotion or even an oil will work much better for you now as natural oil production will decrease with declining hormones. 

Some women experience what they call a second adolescence. Try spot treating the breakouts instead of trying the entire face as if it’s one giant pimple. You’ll just end up dehydrating the skin and upsetting the acid balance which protects it.
Remember, you’re skin is the largest of the body. Treat it with care and it will take care of you.