Tax Invoices with Multiple Lines

What are the consequences for the person who recover VAT if below discrepences found in the Vendor's Billing . 

• There are supplies in multiple lines but VAT % & VAT Amount & total against each line is not available.Vendors (Goods & Services Providers) just apply VAT %, VAT amount and Total including of VAT at the down summary on the Tax Invoices.  
• Vendors also miss TRN, Address, Make Wrong/ short legal Name [not as per Tax Cerrificate/ TL] Even though instructions always be issued to them but also failures on these compliances are common.

Tax Authority can disallow/reject  recoverable VAT on such Tax Invoices?