Look at Bono floor products that can add shine.
Bona for hardwood floors.
If you have the legit hardwood, not laminate, paste wax for wood floors is the tried and true way. Buff using a floor polisher with lambskin (or equivalent) pads. But if you wish an alternative, I have an old house (+60years),so I'm not too fussy. Once I have the floors cleaned and dry, I apply 2-3 coats of an acrylic floor polish with a new sponge mop. To speed up the drying, I spray the polish on the floor and use the mop to spread it thinly.
Hope this helps.
Here are some ideas: https://www.youtube.com/watch?v=lV05K9oESlo
We have had hardwood floors in our 7 different homes and have used a lot of HW floor products over the years. We stopped using the steam mop when it started blistering off the finish at the seams on a new traditional oil based sealed oak hw floor installation.
The past two years we have been using the BONA mop and solution and we’re very pleased with the results.