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You really need a single level cage, not two storey, which is big enough and then with two of every item (including hides which have two exits) inside it. Piggies are ground roaming creatures, not natural climbers and prefer to live on a single level.
For two boars the cage needs to be 180x60cm/70 inches by 24 inches of flat surface. They need 12 square feet.
(150x60cm being the absolute minimum for two boys but that may not be big enough and you are better off to go to 180cm for them).
A two storey cage also does not mean double the floor space - for example you can’t get a 120x60cm two storey cage which covers 8 sq ft on the bottom level and think that it’s 16 sq ft because it’s two levels. It’s still only 8 sq ft so not big enough, as only the bottom level counts and the upper level is just a bonus space which the piggies may or may not use.
Even if you did get a two storey cage, the bottom level would still need to measure 180x60cm.
I think you will struggle to find even a single level commercial cage measuring that size, I’ve never seen a two storey in the right size. We certainly don’t have any single level commercial cages of that the right size for boars here (the biggest we can get is 160cm so is only just slightly over minimum and may be fine for some, but too small for others) and definitely no two storey cages.
When it comes to ramps, some piggies will use them, some won’t. They aren’t natural climbers and would rather live on a single level and not have to climb ramps. Ramps in two storey cages they tend to be quite steep and don’t have sides which can put piggies off using them.
Ramps also have the potential to be an issue for some teen boars. It’s obviously only one way up and down and if the dominant piggy was to claim it as his space, then the other piggy may not be allowed to use the ramp anyway.
The best option for two boys is a c&c cage and it would need to be 5 grids by 2 grids. These can have lids fitted to them by using additional grids overlapped and zip tied together for rigidity, so they can be safe from your dogs.
The alternative is to join two commercial cages together side by side so they can have enough space on a single level and have a lid so safe from your dogs.
Cage Size Guide
Piggies come in different shapes and sizes and they won’t all gain weight evenly. The only way to know they are both eating enough hay is with the weekly weight checks. Ensure you weigh them both every week as routine and keep a note so you can compare.
If you become concerned or notice one is losing weight beyond normal fluctuation (either rapidly or is on a slower but downward trend) then you switch to daily weight checks and take the further actions as necessary - syringe feed, see a vet first to rule out medical issues. Only looking to behavioural issues such as bullying after medical is ruled out.
At thus point it doesn’t necessarily need to be bullying, he may simply not be as confident and just need to settle in a bit more, there are things you can do -
Do you have two separate hay piles in the cage at present?
Dont use hay racks or holders, just put the hay loose in the cage in piles.
Ensure hay is also put in all the hides so a more nervous piggy doesn’t need to come out to eat if he doesn’t yet feel confident.
Covering part of the cage with a blanket or sheet can also help provide cover and make them feel more safe.
Weight - Monitoring and Management
How To Pick Up And Weigh Your Guinea Pigs Safely (videos)