Post configuring SQL Server Always-On a very common problem and issue I have seen happening is running SQL Server Jobs on the desired side of AG.
Like backup jobs to only run at secondary, some reporting jobs to run only on secondary, index maintenance job to run on primary and so on.
I have been using the below script might be helpful to you too:
DECLARE @AORole VARCHAR(20) = 'PRIMARY'; DECLARE @Message NVARCHAR(100) = 'Executing is running on Primary' IF @AORole = (SELECT role_desc FROM sys.dm_hadr_availability_replica_states WHERE is_local=1 AND role=1) PRINT 'Primary Server' /* Your Job code here . . . . */ ELSE EXEC xp_logevent 60000, @Message, informational