Hi.
I try to emphasize this a lot when talking about VFS. Pitch is just one part, you basically should be able to make a female sounding voice before VFS - at any pitch that you can reach there, ideally also at a lower pitch. If that works, a pitch raising surgery like VFS (which at Yeson stands actually more for "vocal fold shortening" than for "voice feminization surgery") helps and makes it easier. But it cannot feminize all of the voice.
My educated guess about what I hear in the recording is: The pitch is too high - unless you had a female pitch range pre-op, the pitch should not be this high but rather near the G or A. Yours is apparently close to the middle C. I can imagine that you got used to that range due to the Yeson exercises which use a lot of pitches for exercising that are at the middle C or above. But this is not the goal, the goal is an average female pitch range which is more a G or A, so about 200 Hz and not 250 or more. My gues sis, also from the way the voice sounds like, that you are consciously or subconsciously forcing up the pitch. This has two effects - it sounds "squeezed" and unnatural - and you are trapped in a small range below the breaking point to the head voice, which is usually a bit above the middle C. So if you speak just a bit below the middle C, your voice has not much room to the top to move before it goes into the head voice, which means unless you use the head voice, you will sound monotonous and this is what happens in the recording.
Consequently you definitely have to lower the voice into a range that is truely natural for you. It is a it hard to find out where that point is post OP, I am stuggling with that as well, but doing the lip flutter exercise without sound and then consciously relaxing your throat, all your jaw and neck muscles and then adding a soft and not very loud, breathy vowel like "u" to it may give you an idea. Or just sigh - Do a "Hmmm" as if in agreement so something someone tells you. This may also be a hint of the natural pitch now.
The next thing then is to work on the transition into head voice. Check out what happens at the voice break. If you do the Yeson exercises and you do the lip trills and humming glissandos (going from lowest to highst possible note), you should inevitably pass over the voice break. Also when you do the stepwise pitch increase exercises - humming or singing mmmiiii at a pitch ranging from C to G, you should as well go into the head voice. Maybe start the exercises at a lower pitch then. I usually do them over a full octave from G below the middle C to the G above the middle C - That way I do train my chest voice , which is the speaking voice, as well as my head voice. Speaking should happenb in the chest voice, I think you have probably too much head voice in the speaking voice, which sounds "falsetto".
The reason it sounds falsetto and not like a female singing voice is the resonance - this is the hardest but most crucial part. Yeson try to teach this with those "ng-aaah" exercises, but I find they are insufficient. You will have to use some other exercises - ideally a voice coach or voice therapist, maybe the FYFV videos also may help you. I think it is easier to learn this pre-op as the coaches and instructions are all designed for pre op voices, but they should also work post op.