Lightroom presets aren’t doing anything mysterious—they’re just changing a set of develop controls. Based on the community answer, Aged Photo is mainly a simple combination of brightness, contrast, saturation, and noise-reduction changes, with the color styling coming from the sepia toning.

A practical way to recreate only the part you want in Photoshop is:

• add adjustment layers for brightness/contrast and saturation
• reduce or remove the sepia-style color effect
• if needed, soften the image slightly to mimic noise-reduction smoothing
• use the layer masks on those adjustment layers to paint the effect into only the area you want

If you want to know exactly what Lightroom is changing, the easiest method is to apply and undo the preset in Lightroom’s Develop module while watching the sliders. That will show you which settings the preset modifies and by how much, making it straightforward to match in Photoshop.