The Golf Club 2019

The achievement description is actually incorrect. You don’t need to complete all sponsor goals, but only 30 out of 39 possible.

Also a correction to the previous guide - the Majors are:
The Royal Championship
The Legends Championship
Northwest Open
The Golf Club Championship

The Players Championship is considered the “5th” major, but it does not count for any sponsor goals for completing majors.

More of an FYI than a solution, this popped for me after getting the "Under Armor" sponsor to LvL 3. I had another sponsor still at lvl 2 and I had previously had one sponsor requirement I met the conditions of that didn't register so could be a pretty buggy achievement. My sponsor levels when the achievement unlocked were.

HB Studios - Level 4 complete
Tattoo Golf - Level 4 complete
Royal & Awesome - Level 3 - 2 of 3 complete
Vice Golf - Level 2 - 2 of 3 complete
Under Armor - Level 3 - 0 of 3 complete

another quick tip because they didn't seem to get a lot of the naming rights for tournaments the "majors" are the named achievement tournaments

The Golf Club Championship
The Royal Championship
The Players Championship
The Northwest Open

I was totally in the dark how to do this, since it had been years since I started the game, and I never paid attention to the sponsor goals at first. The following guide really would have helped me.

Where to view the goals:
From the main menu, select PGA TOUR Career. In the next menu, the “PGA TOUR Career Home”, press RB until you get to the Records section. Select Sponsor Goals. Here you can select a sponsor to view the requirements of the sponsor's specific goals. If you'd like to attempt these goals, make it your active sponsor, and go play events until you do. Each sponsor has multiple levels of goals that can be viewed here, and one level must be complete to achieve goals in the next level.

How many you need:
There are 39 possible sponsor goals, and the achievement description makes it sound like you need all of them. But it’s known by the community that in fact you only need to complete 30 sponsor goals.

Tips:
To make it as easy as possible choose the easiest difficulty and use beginner clubs, except for the few goals that require master clubs. To change the difficulty, go to the PGA TOUR Career Home, and RB to Settings, and choose Career Difficulty. To change the club level, press the menu button (commonly known as the start or pause button) on any menu, choose Edit Golfer & Equipment, choose Club Difficulty. I’d advise to pay attention to these while you are going for the other achievements in the game. I neglected to do this, so I basically had to play through every event in the game at least three times.

List of all the goals:
Hb Studios
Level 1 – “Finish a PGA TOUR Career mode event.”
Level 2 – “Place in the top 25 of a PGA TOUR Career mode event.”
Level 3 – “Place in the top 10 of 3 PGA TOUR Career mode events.”

Tattoo Golf
Level 1 – “Finish 3 consecutive rounds in the PGA TOUR under Par.”
Level 1 – “Win an event in the PGA TOUR.”
Level 1 – “Score Par or better in a round of a PGA TOUR event without hitting any hazards.”
Level 2 – “Score Par or better on 3 holes in a PGA TOUR event with 1-Putts-Per-Hole or fewer.”
Level 2 – “Place in the top 5 in 3 consecutive PGA TOUR events.”
Level 2 – “Complete a round in a PGA TOUR event hitting every green in regulation (GIR).” (3)
Level 3 – “Win a PGA TOUR event which has two or more rounds where every round was below Par.”
Level 3 – “Score and Eagle or better on any hole of a PGA TOUR event.”
Level 3 – “Win 2 Major events.” (5)

Royal & Awesome
Level 1 – “Score Par or better in a round of a PGA TOUR event with 1.7-Putts-Per-Hole or fewer.”
Level 1 – “Place in the top 5 of 2 PGA TOUR events.”
Level 1 – “Finish 5 PGA TOUR events.”
Level 2 – “Finish a PGA TOUR event with more than 1 round.” (1)
Level 2 – “Hole-out from off the green in a PGA TOUR event.”
Level 2 – “Finish a round in a PGA TOUR event with a score of -5 or better.”
Level 3 – “Win a PGA TOUR event on a TPC course.”
Level 3 – “Finish a round of a PGA TOUR event with all Fairways in Regulation (FIR).” (4)
Level 3 – “Finish a round at any Major event with a score of -3 or better.” (5)

Vice Golf
Level 1 – “Hit a drive of 300 yards or longer in a PGA TOUR event.” (2)
Level 1 – “Finish a round in a PGA TOUR event with at least 5 birdies or more.”
Level 1 – “Finish a round with Par or better in a PGA TOUR event.”
Level 2 – “Win a 4 round PGA TOUR event by leading every round.” (1)
Level 2 – “Place in the top 3 of 3 consecutive PGA TOUR events.”
Level 2 – “Finish A Major event with a score of Par or better.” (5)
Level 3 – “Place in the top 10 of 3 consecutive PGA TOUR events using Master Clubs.”
Level 3 – “Win 3 PGA TOUR events.”
Level 3 – “Earn 900 FedExCup points.”

Under Armour
Level 1 – “Shoot 3 consecutive birdies or better in a single round of a PGA TOUR event.”
Level 1 – “Win a PGA TOUR event by one stroke or more.”
Level 1 – “Hit a Par 4 green in single stroke in a PGA TOUR event.”
Level 2 – “Score Par or better in a round of a PGA TOUR event with 1.5-Putts-Per-Hole or fewer.”
Level 2 – “Win a multi-round PGA TOUR event.” (1)
Level 2 – “Score Par or better in 2 rounds of PGA TOUR events using Master Clubs.”
Level 3 – “Complete a round in a PGA TOUR event with no bogeys or worse.”
Level 3 – “Score 28 or more birdies in a 4 round PGA TOUR event.” (1)
Level 3 – “Win a Major event.” (5)

Footnotes:
(1) In the PGA TOUR Career Home, press RB to the Settings section, select Rounds Per Event, change the number of rounds as necessary.
(2) One strategy for hitting a 300 yard shot is to switch to master clubs. To do this, press the menu button (commonly known as the start or pause button) on any menu, choose Edit Golfer & Equipment, choose Club Difficulty, select Master Clubs. Master clubs are very unforgiving and it can be difficult to play well. It is also possible to do it with Beginner Clubs on a course called “The Nomad.” This is the 16th tournament in the PGA TOUR called The Trinity Invitational.
(3) GIR (Green in Regulation) - A GIR occurs when you land on the green with at least two shots to spare for a par.
(4) FIR (Fairway in Regulation) - On a Par 4 and Par 5 hole, obtaining a FIR occurs when your tee shot lands in the fairway.
(5) As far as I can tell, the “majors” are: The Legends Championship, The Golf Club Championship, The Northwest Open, The Royal Championship.