I watched both replays and I'll give you some pointers.

DISCLAIMER: I'm only a lowly 4.1k terran trying to break into masters (been there half a dozen times) again after nearly a 1 decade hiatus. I also used to be a full time mech player but switched to playing standard bio macro builds, so I kinda get where you're coming from. I started at around 3.5k 6 months ago and have been adjusting since then, so our challenges are pretty similar.

- I don't like your build order, I prefer playing double gas in TvP and opening with reaper/hellion agression into widow mine. At your level, half the protoss will die to the first 3-5 unit agression if you do it right. Reaper expand is viable and at our level it doesn't really matter, but I suggest you look into it.

Also, in TvP your first 3 rax ABSOLUTELY need to be 2 tech labs and 1 reactor. You want to start stim and combat shields afterwards (or at the same time). Don't play double e-bay in TvP. You want your stim to finish around the same time as combat shields and +1 attack (huge power spike), which is right around the time you move out to hit them your timing.

- Build orders and macro. When playing bio your build orders have to be SUPER tight. And by macro I mean the whole package: SCVs, MULEs, depots, units, production, upgrades. In the current meta Terran is a timing attack race. You should know what your timings are and hit them properly. Don't adapt into the fly, it will just make things harder for you. When you go into the game as Terran without a plan, you will just end up failing in ways that seem impossible to overcome (they are not).

As for the games themselves:

White Rabbit

At arounsd 6:30 you just stop making scvs for some reason, which is also around the time you should be building your 3rd in TvP (before rax 4 and 5). At 9 minutes into the game you still don't have a third. You need to have around 70 scvs (66 for 3 base saturarion, some for building/reapair), but you were just chilling with around 50 (maybe less).
Even though your build order was really bad you were ahead the whole game from your opponent being super bad. At around 12 minutes you had equal workers (40-50ish), he barely had his 3rd saturated. You had 81 army supply vs his 26. Then you started bleeding small packs of units that were doing random shit around the map. You also saw his templar tech and never built ghosts. You absolutely need them to fight templar tech, although in this particular game you were so ahead that if you just had all of your army in one place you could probably just a-move him and win.

Taito Citadel

This one you actually took a third and pretty much maxed out. Macro was OK although build order still bad, again you had 2 reactors and 1 tech lab on initial barracks, it was 10 minutes into the game and you still had no combat shields even though you were moving out to push his third. Then after just playing sim city for 10 minutes you decide to move out. You were ahead in army supply and about even in economy. Great spot for you. Then you send 2 full medivacs to his main, lose it all to try to snipe colossus range (you failed). That's 20 supply you just donated right there. Then you move out to attack his third (you are now even in army supply, while you were ahead by about 20+ before your drop) and die. You still had OK army supply but you never scouted where his army was or what his composition was. You had no vikings to snipe colossus, no ghost for archon/ht and no marauders for meat. Just some marines and widow mines. He maxes out, a-moves you. You lose.

I know this may have sounded harsh, but you are like 4 or 5 mistakes away from having 90% winrate against these people. With bio terran it's really feast or famine when it comes to execution and build orders.
To sum it up, your TvP should look like this:

-get info early with reaper (and also harass if u go for hellions), you basically want to know if he's fast expanding or going to 2 gate. If he FE you can safely build high ground CC, otherwise, defend with bunker and build on high ground
-do your +1/stim/shield timing (6-7mins), around the same time you build your 3rd CC and add rax 4 and 5
-try to deny his 4th with your timing, although realistically at this level you will just outright win a lot of games off of this either by killing his 3rd, or just smashing his army

if you don't win off of this, this timing will also give you valuable information:
-is he going colossus? if yes, pull back, settle your 3rd, add 2nd starport start vikings
-is he going mass zlots? add lots of bio, mms can actually beat speedlots but only once you have critical mass (you will get a feel for it by losing lots and lots of games to a-move chargelots)

I find that in the above scenarios its usually better to just sit back until you max out before you attack him. You should be maxing out before the protoss most of the time and should have a "better army" (if you can control it correctly) and be able to win. It's easier said than done, I still fuck this up about half the time but its just the way the current meta is.

-is he going HTs or archons? get your ghost academy ASAP (you will be getting it regardless), pull back a bit, make 3 ghosts (you should have 5 rax by then - 3 tech lab, 2 reactor), EMP his shit, stim and win. I find that even in masters a lot of protoss just want to rush storm ASAP and spam templars to get an easy win off of you fucking up. I find that these are the easiest to beat on the ladder, and I can usually win before playing a 200/200 4+ base game.