While Photoshop is where the most serious editing generally takes place, you can accomplish quite a lot in Lightroom, especially with the newer versions of the program. If you would like to improve your Lightroom skills, check out this fantastic video tutorial that will show you three different ways to make your subject pop using the program.
Coming to you from Park Cameras, this excellent video tutorial will show you three different methods for making the subject of a photo stand out when working in Lightroom. If you have not used the application's new masking features, it is really worth taking the time to learn them. I used to use the radial filter quite a bit to draw attention to my subjects, but that would sometimes leave a little bit of unintended exposure bumping near the subject. The new AI masking features are so good that I can just select my subject with a quick click 90% of the time and precisely brighten them a bit for emphasis instead of dealing with the less precise radial filter, though for something like a landscape photo, it is still a useful tool to have at your disposal. Check out the video above for the full rundown.
In addition to reducing contrast on the background, you can get similar effects by reducing clarity, texture and sharpness (don't go very far, just a slight deemphasis on the background is all that is needed).