You remember when Bruce(Ben Affleck) was in his cave wearing white shirt and was dreaming the apocalypse scene then he woke up to Barry Alan in time portal telling Bruce to save Martha, the moment Lois said it's his mothers name Bruce realised that was the Martha he has to save.
Not hating but this is very wrong. Barry Allen went to the past to tell Bruce that "Lois Lane is the key". Basically saying Bruce needs to save Lois because is she dies, superman becomes evil. You see superman holding a charred Lois in snder cut when becomes evil during one of the foreshadowing scenes. The significance Martha had between Bruce and Clark was that Bruce realised that Clark was essentially just like him and raised by humans. Them having the same name helped Bruce humanise superman in his eyes. Sorry for long paragraph but I'm such a nerd when it comes to stuff like this 😂😂