You need to use the WHERE clause. As shown in the docs, you can only have a single pattern if you use "SHOW TABLES LIKE ...", but you can use an expression in the WHERE clause if you use "SHOW TABLES WHERE ...". Since you want an expression, you need to use the WHERE clause.
SHOW TABLES
FROM `<yourdbname>`
WHERE
`Tables_in_<yourdbname>` LIKE '%cms%'
OR `Tables_in_<yourdbname>` LIKE '%role%';