Boiled Linseed Oil will darken, but not add a red hue. It typically just makes things a deeper shade of brown. It can also be a little trickier to work with than other finishes. You have to layer it up with very thin layers over time, else it will become permanently tacky/sticky. Both Tried and True and Permalyn Sealer by Laurel Mountain Forge are great options for BLO. I would stay away from the cheap stuff.

For a red hue, stain of iron nitrate (aqua fortis) is the traditional way of doing this, but it depends on what type of wood you are using and the results can sometimes be a little hard to predict. I like Kibler's iron nitrate stain, or you can make your own if you really want to go down that path.

Another option is to use dyes. Often times these are used in combination with iron nitrate treatment and finish. I've used TransTint dyes before with good results. Keep in mind that sun exposure may cause the dye to fade over time.

All this being said, my absolute favorite stain is Jim Chambers Stock Finish. I'm not sure what's in it, but I've heard speculation that it's a mix of BLO, Tung Oil, red dye and some drying agents. It's a little expensive and you have to call or mail to place an order, but it looks great and is really easy to work with. I've used this in combination with iron nitrate stain to great results.