Battleborn

Make It Reyno- Absorb 25,000 Damage with Photonic Ward.
This Isn't really much damage to absorb and can be done quickly against Geoff on the first mission. When he goes for a firmware upgrade he will constantly fire at you if he spots you, simply put up your ultimate absorb all that fire then go hide somewhere while it's on cooldown.

Now I Got Their Back- Use plasma pulse to drain 150 enemies' shields.
I haven't really done any testing to see if you have to completely drain the shield or just damage it, but it should come quite easily through normal playing. Just fire at enemies with shields using your secondary attack.

The Signal- Grant an overshield to 100 allies.
This is the easiest lore challenge for Reyna and can done easily in 1-2 matches. You grant overshields to allies by aiming at them and using your skill, the skill also won't be wasted if you miss as you can keep on using it until you hit an ally. Make use of the time before a match starts while cooldowns are at 3 seconds to constantly fire the skill at allies and then when the match starts use as soon as it cools down, use cooldown gear to be able to use it more often.

A Marked Improvement To Battle- Enemies marked by priority target take a total of 30,000 damage.
Can be done on story with a full team on any level with multiple bosses like The Algorithm, The Sentinel or even The Hellophage. Priority Target is your skill and makes the target take increased damage for a short amount of time, fire it at the boss as soon as the is available and with everyone attacking the boss you should get a lot of damage done with each use.

The Best Defense-Kill 1000 enemies with laser pistol
Unlike all the other lore challenges which can be done easily through normal gameplay, this one is a bit of a grind. As mentioned on other guides there is a spot on The Algorithm just before the third boss after you destroy 3 of the 4 shards there will be 2 swarmer spawners, if you go into the corner outside the room of the 4th shard it will make it so the spawners won't come attack you but the little swarmers will. simply staying here shooting the swarmers as they come will bag the lore challenge in less than an hour depending on how many kills you had before hand. Although allow the swarmers to clump as killing multiple with one shot will only result in one kill. Here's a video of me doing this:


The below link will take you a build to help with all the lore challenges(Although not really a good survivability build)
(being too long TA wouldn't hyperlink it all, so you'll have to paste it in the URL yourself)
battlebornforum.com/pages/battleborn-helix-build-editor-reyna/?rows=1,-1,1,0,-1,1,1,1,-1,1,

If anyone has anything to add, let me know in the comments.