How do I make a paint on a textured wall more shiny?

I textured my bathroom wall and sponged color mixed with a little glaze over the texture. I like the general look but would like it to be shinier. Is there something I can just sponge or paint over the color?

You might try something like clear urethane but I would do a test on something else before covering the entire wall. If you have any left, paint a board, let it dry then try the urethane.

Pay strict attention to the flammability warnings on the can. When drying, some such products are subject to flash if there is a spark near the vapors.

After painting your wall with texture paint, coat a layer of glaze over it. Mix glazing liquid with the glaze color. The ratio depends on how transparent you want the glaze to be.
Mixing 1 part paint to 2 parts glazing liquid produces a light color that provides minimal color contrast. Adding more glazing liquid produces a more pronounced contrast. Brush or roll the glaze onto the wall in a small section. Let the glaze set for no more than two minutes, then wipe it off with a clean, slightly damp sponge. Check out here, they have really some nice texture pain collections
https://caparolarabia.com/paint-category/texture-solutions/