I’m playing an 6th level Artificer 2 / Bard 4 who took the Bag of Holding at 2nd level.
If I cast silence on my Thunder Cannon and place it in the bag of holding, am I able to maintain concentration on the spell?
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Concentration is broken only under certain conditions:
Beyond that, if an ability does not say it breaks concentration (and there is no ability that I know of that says this), whatever you do you can maintain concentration.
In case this was the source of you confusion, you don't need to maintain line of sight per Sage Advice:
If you’re concentrating on a spell, do you need to maintain line of sight with the spell’s target or the spell’s effect?
You don’t need to be within line of sight or within range to maintain concentration on a spell, unless a spell’s description or other game feature says otherwise.
Since placing an object in an extraplanar space satisfies none of the conditions for breaking concentration, then you have no issue maintaining your concentration on the spell.