It's great to see a new face here in the Community. Allow me to provide you with some information on filing and paying Connecticut sales tax through your QuickBooks Online (QBO) account.
E-filing and paying your sales tax in your QBO would be easier for your business. However, you'll need to e-file your return on your tax agency's website or by mail. Also, paying your tax payments will need to be done outside of the system. You can manually record the payments to zero out your sales tax. Here's how:
Go to the Taxes tab on the left-hand menu bar.
Press View Return on the return your just filed. Note: If you paid an older return, select the From ▼ dropdown and choose a past month. Then, select Refresh.
Hit Select a filing method and then File manually.
Add the payment details.
Tap Record payment.
Now it's marked as paid. Click Back to sales tax center.
This information should give you the answer to your question. If you run into any trouble along the way, just let me know. I'll always be around to help. I'm only a post away if you need me. Have a great day!