Search Results: changed since college

I'm 20 years old, weigh 71kg and stand at 5 foot 10 inches. My goal is stronger and bigger arms and while it doesn't need to be "Washboard abs" I really want to lose my gut and "man boobs". I've also been advised to work on my legs to, so I don't end up being "top heavy". You might have guessed that I don't know too much about how it all works, but I try to.

Since June of last year (2017) I've been making huge changes in my diet and have tried various different workout routines. At first it was some weights in the back garden and I followed a 5x5 strong lifts app on my phone. But When I started my college course I joined their gym, told the staff my goals and asked if they could create a routine for me.

They did and i'd follow it for months. But as the days went by, I felt like I wasn't getting anywhere and became frustrated with my lack of progress. I was losing a little weight, but it felt like I wasn't getting any stronger.

So I payed for a personal trainer. He was a nice and after seeing what I was capable of, he recommended this:

MONDAY: CHEST AND TRICEPS: 3 X 8-12 Reps
Chest Press, Dumbbell pullovers, Flyes, Tricep extensions, Tri kickbacks, press-ups,
TUESDAY: LEGS AND CORE: 3 X 8-12 Reps
Squats, Leg press, Lunges, Bulgarian split squats, Leg extensions, Calf raises, Plank, Woodchops,
Alternate arm/leg raises,
WEDNESDAY: CARDIO: Steady state run/cycle/row OR HiiT
THURSDAY: BACK AND BICEPS: 3 X 8-12 Reps
Deadlift, Rear row, Bent over row, pullups, pulldown, Bicep curls, preacher curls, concentration curls,
FRIDAY: SHOULDERS:
Shoulder press, Arnold press, Lateral raises, frontal raises, Upright row,
SATURDAY: CARDIO: Steady state run/cycle/row OR HiiT
SUNDAY: Rest Day/Flexibility

After not getting anywhere for almost half a year, I could really use the reassurance that this will work. Without being rude, i'm not asking for people to suggest their own routines or what changes to make. I just want to know: Will I meet my goals by following this routine?