Your faith in your engineering staff is beside the point. Bias is human nature. Unless you're actively structuring your processes to exclude or minimise it then you're certainly suffering from it, the only question is how.
It's not specifically gender or racial bias either. We ran a study of 700 candidates for a role, running regular hiring against blind assessment and found that the major difference for that role in that organisation was socio-economic... they'd been excluding great candidates who went to less prestigious universities.