Does Chengdu company pay social security?

You can ask the company to pay social security.

Social security payment method:

If it is insured in the name of an individual, if it is missed, it can only be paid back, and five risks can be paid.

If the unit does not declare (does not open an account), it can only pay the pension;

After paying for a period of time, you can find an agent to pay the interruption fee.

If the payer (excluding individuals and freelancers) fails to pay the employee's old-age insurance premium, he shall bring the following materials to the social security agency to handle the case payment of the basic old-age insurance premium:

Employee files and endowment insurance manual;

Application form for payment of basic old-age insurance premium;

Labor contract, salary payment schedule, etc. ;

Other relevant materials.

Further reading: How to buy insurance, which is good, and teach you how to avoid these "pits" of insurance.