Yes, you can typically put foil containers with cardboard lids in the oven, but there are some important considerations:

1. Cardboard Lid Safety: Most cardboard lids are not designed to withstand high temperatures. If you must use the lid, check the manufacturer's instructions for temperature limits. It's usually safer to use the foil container without the lid or to cover it with aluminum foil instead.

2. Direct Heat: Avoid placing the container directly on the oven's bottom surface or directly over a heat source, as this can cause the cardboard to catch fire.

3. Baking Temperature: Ensure that the oven temperature does not exceed the tolerance of the cardboard lid. Generally, keeping the temperature below 350°F (about 175°C) is safer.

4. Monitoring: If you decide to use the cardboard lid, monitor it closely to ensure it doesn’t start to burn or smoke.

For best results and safety, it’s often recommended to use the foil container without the cardboard lid while cooking.