The deal with "shunted"
A fluorescent lampholder (tombstone) has 2 pins that talk to the lamp.
A non-shunted lampholder allows you to wire to each one separately. Each side typically has two stab holes - two on the left that go to the left pin, and two on the right that go to the right pin. So four holes total. (this is to allow jumpering onward).
A shunted lampholder internally shorts the two pins together, and you cannot do anything to feed each pin individually. There is no "tab" you could break off to separate the pins. They typically have 2 stab holes total, both connected to the same thing.
Non-shunted lampholders are entirely downward compatible. You can always turn a non-shunted lampholder into a shunted lampholder by making a 2" long jumper of #18 solid wire and jumping the inner two stab holes on a non-shunted. As such, nobody wants shunted lampholders -- except that fixture manufacturers who make 10,000 fixtures a day are able to eliminate a couple of positions on the assembly line by not having to cut, strip and install that jumper. As such, no one sells shunted lampholders, except in million quantity.
Should you mess with your fixture's tombstones?
No, you should not. Novices tend to think lampholders are all interchangeable and there's this one kind that looks like a tombstone. That's nonsense - there are at least 6 different kinds, and while one is more popular, you roll the dice every time you attempt a replacement.
So I recommend you do not mess with them. If you have shunted lampholders (revealed by 1 wire per lampholder), then simply obtain a ballast that matches that. Modern T8 ballasts come in two general formats:
- Instant-start types use 1 wire per lampholder, and are compatible with shunted tombstones.
- Rapid-start and programmed-start types use 2 wires per lampholder, and require non-shunted tombstones.
It sounds to me like your "exact replacement ballast" is not an exact replacement at all, but you obtained a rapid/programmed start type when your original was instant-start. My advice is to send it back and get an instant-start ballast (2 blue 1 red wire) which will simply wire up directly and exactly to your old wiring.
Or go LED
The other option, that I ought to mention, is LED replacement "tubes". Most of these involve no ballast at all, and simply connect 120V/277V power wires to the lampholders. (the idea of putting 277V across the 2 pins on a tombstone seems completely insane to me). The gotcha with LEDs is that aside from quality, color temperature (fluorescent is generally 4100k) and CRI (fluorescent is 80-98), you also have to contend with no less than five wiring methods.
- Universal, works as either of the next two, type A+B
- Plug-n-play (requires working ballast) - type A
- Direct-wire, double-ended - Type B
- Direct-wire, single-ended (bad - do not buy) also Type "B", WTF?
- Requires External Driver - type C (don't bother with these)
So you can see procurement of these is a bit of a nightmare. But if you choose either Universal or "Direct-wire, Double-ended", then the wiring is extremely simple.
- Identify one end of the fixture and notice all the wires going to all the tombstones at that end. Gather them ALL and connect them to 120V hot.
- Identify the other end of the fixture and gather ALL the wires going to tombstones there. Connect them all to neutral.
Ideal In-sure 8-port wire connectors, or Wago 773 8-port wire connectors, can be ideal for this. Do not use no-name Chinese connectors found on eBay/Amazon/Wish/DealExtreme.