<record model="ir.module.category" id="module_employee_cc">
<field name="name">Employee CC</field>
<field name="description">Helps you Manage employee permissions.</field>
<field name="sequence">1</field>
<field name="visible" eval="True" />

</record>

<record id="group_employee_cc_internal_new" model="res.groups">
<field name="name">Employee Can Manage there own profile as internal users</field>
<field name="category_id" ref="module_employee_cc"/>
<field name="implied_ids" eval="[(6, 0, [ref('base.group_user')])]"/>
</record>

<record id="group_cc_company_owner" model="res.groups">
<field name="name">Company Owner Can Manage there data</field>
<field name="category_id" ref="module_employee_cc"/>
<field name="implied_ids" eval="[(6, 0, [ref('hr.group_hr_user')])]"/>
</record>

I have created one category and 2 groups but still not showing without debug mode on

Yes as you can see both groups are separate from each other.
either you can add group "group_employee_cc_internal_new" in the implied_ids of group group_cc_company_owner, then work.

Like this

<record id="group_cc_company_owner" model="res.groups">
<field name="name">Company Owner Can Manage there data</field>
<field name="category_id" ref="module_employee_cc"/>
<field name="implied_ids" eval="[(6, 0, [ref('you_module_name.group_employee_cc_internal_new')])]"/>
</record>