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Consider a weighted graph:

g=Graph[{1 <-> 2, 2 <-> 3, 3 <-> 1, 2 <-> 4, 4 <-> 5, 5 <-> 6, 6 <-> 4},EdgeWeight -> {0, 3, 4, 0, 4, 6, 9}, EdgeLabels -> "EdgeWeight", VertexShapeFunction -> "Name"];

g1 = FindGraphPartition[g]
g2 = HighlightGraph[g, Map[Subgraph[g, #] &, g1]]

How to determine data for red/yellow weighted graph. Example of Answers:

g3={{1 <-> 2, 0}, {2 <-> 3, 3}, {3 <-> 1, 4}}

I need to do this for large graphs Thanks

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In Mathematica 12.0 and later, you can use

PropertyValue[
 Subgraph[g, g1[[2]]],
 EdgeWeight
]

In earlier versions, use IGWeightedSubgraph from IGraph/M instead of Subgraph, as Subgraph would discard weights.

With IGraph/M, you can also use IGEdgeProp[EdgeWeight][graph] to extract edge weights.

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