We are really strict about tests passing before we can merge anything in, this keeps Airbyte working as well as it does; so unfortunately you just need to makes sure those tests pass for any PRs. Here's a great doc that gives a rundown of all the tests:
https://docs.airbyte.com/connector-development/testing-connectors/source-acceptance-tests-reference
Our team isn't really big, so sometimes it takes longer to approve and merge PRs. There's really no way around this development process because we are committed to having well written and tested code in our codebase.