What is the proper way to push my data from my dev machine to my production?
Edit: I have in the production machine the database with information and I don't want truncate the tables before import.
Another answer has covered the issue with your chosen dump-and-restore solution. I'm going to cover what is the proper way to do this, because dump-and-restore does not scale.
The topics you're looking for are schema migration and data migration or simply "Database Change Management". Data and schema changes are related but separate things. A database dump and restore conflates them, which is why you're getting warnings, and will not scale.
In both cases you're updating a live database to a new standard. If you drop and recreate the tables that will lose production data. If you dump dev and try to restore that on top of existing production data, which you're doing, you'll get schema and data conflicts, which you got. Instead you need to write migration scripts to transform an existing database, kinda like patching code.
For example, let's say you have a table of countries. If you want to add a new country that is a data migration. Data migrations insert, update, and delete data. You'd write a script that inserts the new data and then run it on production.
If you wanted to add an ISO code to every country that means adding a new column. That is a schema migration. Schema migrations create, alter, and drop tables (and functions, types, etc). You'd write a script to alter the table to add the new column and run that on production. Then run a data migration to update each country with an ISO code.
That's the basic idea: scripts of mostly SQL statements which incrementally change the schema and data. There's more to it like making your migrations run in order, how to detect which migrations have been run, getting into that habit of using migrations even in dev, setting up a staging database to test migrations before risking it on production, and so on.
Many ORMs and database frameworks have their own schema and data migration systems built in. For example, Ruby On Rails. There are also stand alone migration systems such as Sqlitch.