When you're across the screen, parry randomly and cancel with jump back barrier. DON'T option select parry. If you ever successfully parry, wait until you see the second D sword go past you and take your free level 3 counter punish (RC in to combo of choice for insane damage). Works on 5D and 6D, don't do the counter against j.2D swords or she'll land, block, and punish. I think this is a near 100% safe option. From here you just have to know your opponent. If they start doing one sword, start countering immediately. If they cancel to 236x they'll likely get staggered by the parry. Sickle and sword wave you can counter on reaction to the startup. The only real punish I've found for waiting after the parry activates is 5D xx 236236D.
Also 5DD is punishable by BBS on instant block. If she cancels in to 236B/C you may trade, though, so only do it in an advantageous situation.
I feel like this is a borderline awful match for Lambda, like Bang. Makoto is extremely quick, evades swords really well, and once she gets in can be impossible to get off. Throw in a free full screen punish for many of her moves and...things do not look well for sword lady.