We replicated this and found the indicator are showing same value at our end (attached screenshot for your reference). Not sure, if your values are entered same for MA length & Smoothing line in both the platform as it is hidden in the above screenshot of Trading View.
Just to add, the chart data of Tradingview.com may differ as per your plan.
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thanks @Sameet i checked back recently it was smoothening that was different in both the sites my bad .