In my past life as an accounting Controller, all depreciation was fixed as was anything pushing down from the balance sheet and anything with a fixed term of 3 years or greater. Everything else was variable because it was either physical goods and materials so the volumes and costs would flex on sales, or it was based on consumption that was unrelated to sales. Things like labor and utilities flex on consumption.
Since we're talking about management reporting and not competing financial reporting or tax filings based upon this data and processes, it really depends on how your organization defines fixed and variable. You could look into accounting standards like GAAP and IFRS but I don't think you'd find much value in that for this purpose. Anything that costs the same thing all the time regardless of whether you sell something or not is fixed, all else is variable.
As @Hee Sung Kang has said, GL account level is usually where you find this designation. Most often, in my experience, fixed and variable costs are rarely booked to the same GL because fixed costs are related to a longer term and stated as paying down long-tem liabilities which is a different area of the P&L than other OpEx (typically).